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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Results (displaying both matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
16-378e8-1.1-c4e8-0-0	$6.25$	$5.43\times 10^{12}$	$16$	$2^{8} \cdot 3^{24} \cdot 7^{8}$	1.1	$$	$[4.0]^{8}$	$4$		$1$	$0$	$0.0126708$	Modular form 378.5.b.b
16-378e8-1.1-c4e8-0-1	$6.25$	$5.43\times 10^{12}$	$16$	$2^{8} \cdot 3^{24} \cdot 7^{8}$	1.1	$$	$[4.0]^{8}$	$4$		$1$	$0$	$0.157353$	Modular form 378.5.b.a