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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
1-52-52.11-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.11 $0$ 0 ✓ ✓ $-0.0771$ $0$ $1.96277$ Character $\chi_{52}(11, \cdot)$
1-52-52.15-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.15 $0$ 0 ✓ ✓ $-0.170$ $0$ $1.59434$ Character $\chi_{52}(15, \cdot)$
1-52-52.19-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.19 $0$ 0 ✓ ✓ $0.0771$ $0$ $2.33993$ Character $\chi_{52}(19, \cdot)$
1-52-52.31-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.31 $0$ 0 ✓ ✓ $-0.203$ $0$ $1.03855$ Character $\chi_{52}(31, \cdot)$
1-52-52.47-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.47 $0$ 0 ✓ ✓ $0.203$ $0$ $2.42206$ Character $\chi_{52}(47, \cdot)$
1-52-52.7-r0-0-0 $0.241$ $0.241$ $1$ $2^{2} \cdot 13$ 52.7 $0$ 0 ✓ ✓ $0.170$ $0$ $2.91177$ Character $\chi_{52}(7, \cdot)$
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