Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152v |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
495235144876032 = 218 · 37 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37848,2611476] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:2178:1] |
Generators of the group modulo torsion |
j |
1463875168353625/120907017792 |
j-invariant |
L |
7.3235987122138 |
L(r)(E,1)/r! |
Ω |
0.5112953989285 |
Real period |
R |
1.0231153943998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894b1 124608co1 93456bv1 |
Quadratic twists by: -4 8 -3 |