Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152w |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
24615437769179136 = 216 · 314 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72832,481460] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:2430:1] |
Generators of the group modulo torsion |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
7.5876697588602 |
L(r)(E,1)/r! |
Ω |
0.32213942885822 |
Real period |
R |
1.6824280506988 |
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 |
3894l1 124608cp1 93456bx1 |
Quadratic twists by: -4 8 -3 |