Atkin-Lehner |
2- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104512i |
Isogeny class |
Conductor |
104512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
624384 |
Modular degree for the optimal curve |
Δ |
3390955076344256 = 26 · 236 · 713 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-473159,125242040] |
[a1,a2,a3,a4,a6] |
Generators |
[458483256:18412479800:250047] |
Generators of the group modulo torsion |
j |
183048027743390997312/52983673067879 |
j-invariant |
L |
7.5585204066654 |
L(r)(E,1)/r! |
Ω |
0.4361721602363 |
Real period |
R |
11.55280887091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104512f1 52256b2 |
Quadratic twists by: -4 8 |