Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090de |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
deg |
87588864 |
Modular degree for the optimal curve |
Δ |
1.4626363182875E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1630767355,25280547825425] |
[a1,a2,a3,a4,a6] |
Generators |
[25310:455825:1] |
Generators of the group modulo torsion |
j |
3239908336204082689644289/9880281924658790400 |
j-invariant |
L |
14.492585251492 |
L(r)(E,1)/r! |
Ω |
0.048022512303331 |
Real period |
R |
2.7943270309127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969406 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bc1 |
Quadratic twists by: -23 |