Rational L-function search results

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank
Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label
Root number	Primitive	Origin	Exclude origin

Sort order

Select

Results (displaying both matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
6-1859e3-11.10-c0e3-0-0	$0.963$	$0.798$	$6$	$11^{3} \cdot 13^{6}$	11.10	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$0.817084$	Modular form 1859.1.c.b
6-1859e3-11.10-c0e3-0-1	$0.963$	$0.798$	$6$	$11^{3} \cdot 13^{6}$	11.10	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.00581$	Artin representation 2.1859.7t2.a Modular form 1859.1.c.a