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

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
1-52-52.51-r1-0-0	$5.58$	$5.58$	$1$	$2^{2} \cdot 13$	52.51	$1$	$$	$0$	✓	$1$	$0$	$1.09268$	Dirichlet character \(\chi_{52} (51, \cdot) \)