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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
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Results (6 matches)

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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-40-40.27-r0-0-0 $0.185$ $0.185$ $1$ $2^{3} \cdot 5$ 40.27 $0$ 0 ✓ ✓ $-0.161$ $0$ $1.64202$ Character $\chi_{40}(27, \cdot)$
1-40-40.29-r0-0-0 $0.185$ $0.185$ $1$ $2^{3} \cdot 5$ 40.29 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.48821$ Character $\chi_{40}(29, \cdot)$
1-40-40.3-r0-0-0 $0.185$ $0.185$ $1$ $2^{3} \cdot 5$ 40.3 $0$ 0 ✓ ✓ $0.161$ $0$ $2.89056$ Character $\chi_{40}(3, \cdot)$
1-40-40.13-r1-0-0 $4.29$ $4.29$ $1$ $2^{3} \cdot 5$ 40.13 $1$ 0 ✓ ✓ $-0.338$ $0$ $0.781757$ Character $\chi_{40}(13, \cdot)$
1-40-40.19-r1-0-0 $4.29$ $4.29$ $1$ $2^{3} \cdot 5$ 40.19 $1$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.32058$ Character $\chi_{40}(19, \cdot)$
1-40-40.37-r1-0-0 $4.29$ $4.29$ $1$ $2^{3} \cdot 5$ 40.37 $1$ 0 ✓ ✓ $0.338$ $0$ $2.71257$ Character $\chi_{40}(37, \cdot)$
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