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

Sort order

Select

Results (6 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-13-13.11-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.11	$1$	$$	$0$	✓	✓			$0.256$	$0$	$3.32983$	Dirichlet character \(\chi_{13} (11, \cdot) \)
1-13-13.2-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.2	$1$	$$	$0$	✓	✓			$0.162$	$0$	$4.24460$	Dirichlet character \(\chi_{13} (2, \cdot) \)
1-13-13.5-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.5	$1$	$$	$0$	✓	✓			$-0.203$	$0$	$2.19555$	Dirichlet character \(\chi_{13} (5, \cdot) \)
1-13-13.6-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.6	$1$	$$	$0$	✓	✓			$-0.256$	$0$	$0.883960$	Dirichlet character \(\chi_{13} (6, \cdot) \)
1-13-13.7-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.7	$1$	$$	$0$	✓	✓			$-0.162$	$0$	$2.34546$	Dirichlet character \(\chi_{13} (7, \cdot) \)
1-13-13.8-r1-0-0	$1.39$	$1.39$	$1$	$13$	13.8	$1$	$$	$0$	✓	✓			$0.203$	$0$	$3.74382$	Dirichlet character \(\chi_{13} (8, \cdot) \)