Atkin-Lehner |
3- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485j |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7133184 |
Modular degree for the optimal curve |
Δ |
52242227736462225 = 315 · 52 · 73 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36708210,85612953591] |
[a1,a2,a3,a4,a6] |
Generators |
[27494:36513:8] |
Generators of the group modulo torsion |
j |
7503878838865075741942561/71662863836025 |
j-invariant |
L |
3.1594063734953 |
L(r)(E,1)/r! |
Ω |
0.24769990400879 |
Real period |
R |
6.3774879971041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495n1 |
Quadratic twists by: -3 |