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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

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Results (1-50 of 162 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-539-539.103-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.103	$1$	✓	✓	$0.293$	$0$	$0.886323$	Character $\chi_{539}(103, \cdot)$
1-539-539.104-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.104	$1$	✓	✓	$-0.313$	$0$	$0.115618$	Character $\chi_{539}(104, \cdot)$
1-539-539.106-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.106	$1$	✓	✓	$-0.245$	$0$	$0.558953$	Character $\chi_{539}(106, \cdot)$
1-539-539.107-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.107	$1$	✓	✓	$-0.255$	$0$	$0.441272$	Character $\chi_{539}(107, \cdot)$
1-539-539.108-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.108	$1$	✓	✓	$-0.132$	$0$	$0.501268$	Character $\chi_{539}(108, \cdot)$
1-539-539.109-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.109	$1$	✓	✓	$-0.183$	$0$	$0.410977$	Character $\chi_{539}(109, \cdot)$
1-539-539.115-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.115	$1$	✓	✓	$0.336$	$0$	$0.462942$	Character $\chi_{539}(115, \cdot)$
1-539-539.120-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.120	$1$	✓	✓	$0.489$	$0$	$0.0453532$	Character $\chi_{539}(120, \cdot)$
1-539-539.123-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.123	$1$	✓	✓	$-0.369$	$0$	$2.18726$	Character $\chi_{539}(123, \cdot)$
1-539-539.124-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.124	$1$	✓	✓	$0.497$	$0$	$0.0398841$	Character $\chi_{539}(124, \cdot)$
1-539-539.125-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.125	$1$	✓	✓	$-0.356$	$0$	$0.372112$	Character $\chi_{539}(125, \cdot)$
1-539-539.127-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.127	$1$	✓	✓	$0.0637$	$0$	$1.16749$	Character $\chi_{539}(127, \cdot)$
1-539-539.134-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.134	$1$	✓	✓	$0.262$	$0$	$1.10954$	Character $\chi_{539}(134, \cdot)$
1-539-539.136-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.136	$1$	✓	✓	$-0.0298$	$0$	$1.49504$	Character $\chi_{539}(136, \cdot)$
1-539-539.142-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.142	$1$	✓	✓	$-0.360$	$0$	$1.34111$	Character $\chi_{539}(142, \cdot)$
1-539-539.149-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.149	$1$	✓	✓	$0.369$	$0$	$0.0594402$	Character $\chi_{539}(149, \cdot)$
1-539-539.151-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.151	$1$	✓	✓	$0.384$	$0$	$1.33897$	Character $\chi_{539}(151, \cdot)$
1-539-539.152-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.152	$1$	✓	✓	$-0.353$	$0$	$0.0363716$	Character $\chi_{539}(152, \cdot)$
1-539-539.156-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.156	$1$	✓	✓	$-0.369$	$0$	$0.475899$	Character $\chi_{539}(156, \cdot)$
1-539-539.157-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.157	$1$	✓	✓	$-0.293$	$0$	$0.802802$	Character $\chi_{539}(157, \cdot)$
1-539-539.159-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.159	$1$	✓	✓	$-0.330$	$0$	$1.37638$	Character $\chi_{539}(159, \cdot)$
1-539-539.162-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.162	$1$	✓	✓	$-0.255$	$0$	$0.844607$	Character $\chi_{539}(162, \cdot)$
1-539-539.172-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.172	$1$	✓	✓	$-0.377$	$0$	$0.516122$	Character $\chi_{539}(172, \cdot)$
1-539-539.174-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.174	$1$	✓	✓	$0.00292$	$0$	$0.759505$	Character $\chi_{539}(174, \cdot)$
1-539-539.180-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.180	$1$	✓	✓	$0.180$	$0$	$1.02002$	Character $\chi_{539}(180, \cdot)$
1-539-539.181-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.181	$1$	✓	✓	$-0.323$	$0$	$0.478457$	Character $\chi_{539}(181, \cdot)$
1-539-539.183-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.183	$1$	✓	✓	$0.255$	$0$	$1.45488$	Character $\chi_{539}(183, \cdot)$
1-539-539.184-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.184	$1$	✓	✓	$-0.262$	$0$	$2.61079$	Character $\chi_{539}(184, \cdot)$
1-539-539.185-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.185	$1$	✓	✓	$0.323$	$0$	$0.518685$	Character $\chi_{539}(185, \cdot)$
1-539-539.186-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.186	$1$	✓	✓	$0.360$	$0$	$0.129639$	Character $\chi_{539}(186, \cdot)$
1-539-539.192-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.192	$1$	✓	✓	$-0.184$	$0$	$0.960394$	Character $\chi_{539}(192, \cdot)$
1-539-539.193-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.193	$1$	✓	✓	$-0.473$	$0$	$0.364709$	Character $\chi_{539}(193, \cdot)$
1-539-539.2-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.2	$1$	✓	✓	$0.262$	$0$	$0.415572$	Character $\chi_{539}(2, \cdot)$
1-539-539.20-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.20	$1$	✓	✓	$-0.482$	$0$	$0.228313$	Character $\chi_{539}(20, \cdot)$
1-539-539.200-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.200	$1$	✓	✓	$0.269$	$0$	$0.917841$	Character $\chi_{539}(200, \cdot)$
1-539-539.201-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.201	$1$	✓	✓	$0.485$	$0$	$1.98041$	Character $\chi_{539}(201, \cdot)$
1-539-539.202-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.202	$1$	✓	✓	$-0.152$	$0$	$0.500549$	Character $\chi_{539}(202, \cdot)$
1-539-539.204-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.204	$1$	✓	✓	$-0.140$	$0$	$0.0522804$	Character $\chi_{539}(204, \cdot)$
1-539-539.205-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.205	$1$	✓	✓	$-0.377$	$0$	$0.469733$	Character $\chi_{539}(205, \cdot)$
1-539-539.211-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.211	$1$	✓	✓	$-0.369$	$0$	$0.296430$	Character $\chi_{539}(211, \cdot)$
1-539-539.213-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.213	$1$	✓	✓	$0.497$	$0$	$1.67067$	Character $\chi_{539}(213, \cdot)$
1-539-539.219-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.219	$1$	✓	✓	$0.156$	$0$	$1.59303$	Character $\chi_{539}(219, \cdot)$
1-539-539.223-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.223	$1$	✓	✓	$-0.163$	$0$	$0.454774$	Character $\chi_{539}(223, \cdot)$
1-539-539.228-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.228	$1$	✓	✓	$0.404$	$0$	$0.158978$	Character $\chi_{539}(228, \cdot)$
1-539-539.229-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.229	$1$	✓	✓	$-0.465$	$0$	$0.656030$	Character $\chi_{539}(229, \cdot)$
1-539-539.233-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.233	$1$	✓	✓	$-0.376$	$0$	$0.497391$	Character $\chi_{539}(233, \cdot)$
1-539-539.234-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.234	$1$	✓	✓	$0.162$	$0$	$0.993418$	Character $\chi_{539}(234, \cdot)$
1-539-539.236-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.236	$1$	✓	✓	$-0.323$	$0$	$0.323515$	Character $\chi_{539}(236, \cdot)$
1-539-539.239-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.239	$1$	✓	✓	$0.245$	$0$	$1.22071$	Character $\chi_{539}(239, \cdot)$
1-539-539.249-r1-0-0	$57.9$	$57.9$	$1$	$7^{2} \cdot 11$	539.249	$1$	✓	✓	$0.262$	$0$	$0.306752$	Character $\chi_{539}(249, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.