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 (unique match)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-83-1.1-c1-0-6	$0.814$	$0.662$	$2$	$83$	1.1	$$	$1.0$	$1$	✓	$-1$	$1$	$3.65475$	Elliptic curve 83.a Modular form 83.2.a.a Modular form 83.2.a.a.1.1