Atkin-Lehner |
2- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440y |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
9333557504000000 = 214 · 56 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 2 5- -2 6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53640,-1104400] |
[a1,a2,a3,a4,a6] |
Generators |
[500:9840:1] |
Generators of the group modulo torsion |
j |
4167140736909961/2278700562500 |
j-invariant |
L |
10.405215866688 |
L(r)(E,1)/r! |
Ω |
0.33505915036526 |
Real period |
R |
0.86263507118049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430f1 |
Quadratic twists by: -4 |