L-function search results

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
Arithmetic

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Results (12 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-768-3.2-c0-0-0	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	3.2	$$	$0.0$	$0$	✓	✓			$-0.250$	$0$	$1.02777$	Artin representation 2.768.8t11.c.b Modular form 768.1.e.c.257.2
2-768-3.2-c0-0-1	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	3.2	$$	$0.0$	$0$	✓	✓	✓	✓	$0$	$0$	$1.24462$	Artin representation 2.768.4t3.d Artin representation 2.768.4t3.d.a Modular form 768.1.e.a Modular form 768.1.e.a.257.1
2-768-3.2-c0-0-2	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	3.2	$$	$0.0$	$0$	✓	✓	✓	✓	$0$	$0$	$1.80861$	Artin representation 2.768.4t3.c Artin representation 2.768.4t3.c.a Modular form 768.1.e.b Modular form 768.1.e.b.257.1
2-768-3.2-c0-0-3	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	3.2	$$	$0.0$	$0$	✓	✓			$0.250$	$0$	$2.11411$	Artin representation 2.768.8t11.c.a Modular form 768.1.e.c.257.1
2-768-48.29-c0-0-0	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.29	$$	$0.0$	$0$	✓	✓			$-0.0625$	$0$	$1.02178$	Modular form 768.1.i.b.65.1
2-768-48.29-c0-0-1	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.29	$$	$0.0$	$0$	✓	✓			$-0.187$	$0$	$1.30094$	Modular form 768.1.i.a.65.2
2-768-48.29-c0-0-2	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.29	$$	$0.0$	$0$	✓	✓			$-0.0625$	$0$	$1.66274$	Modular form 768.1.i.b.65.2
2-768-48.29-c0-0-3	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.29	$$	$0.0$	$0$	✓	✓			$0.312$	$0$	$2.10110$	Modular form 768.1.i.a.65.1
2-768-48.5-c0-0-0	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.5	$$	$0.0$	$0$	✓	✓			$-0.312$	$0$	$0.751370$	Modular form 768.1.i.a.449.1
2-768-48.5-c0-0-1	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.5	$$	$0.0$	$0$	✓	✓			$0.0625$	$0$	$1.63729$	Modular form 768.1.i.b.449.1
2-768-48.5-c0-0-2	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.5	$$	$0.0$	$0$	✓	✓			$0.0625$	$0$	$1.73880$	Modular form 768.1.i.b.449.2
2-768-48.5-c0-0-3	$0.619$	$0.383$	$2$	$2^{8} \cdot 3$	48.5	$$	$0.0$	$0$	✓	✓			$0.187$	$0$	$2.36187$	Modular form 768.1.i.a.449.2