Atkin-Lehner |
5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31265d |
Isogeny class |
Conductor |
31265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
754550916925 = 52 · 138 · 37 |
Discriminant |
Eigenvalues |
2 -1 5- 1 3 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2760,37923] |
[a1,a2,a3,a4,a6] |
j |
481890304/156325 |
j-invariant |
L |
3.319407747877 |
L(r)(E,1)/r! |
Ω |
0.82985193696962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405b1 |
Quadratic twists by: 13 |