Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512bn |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2261997338832 = 24 · 38 · 7 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3666,45421] |
[a1,a2,a3,a4,a6] |
Generators |
[494:10899:1] |
Generators of the group modulo torsion |
j |
467147020288/193929813 |
j-invariant |
L |
7.1259185372717 |
L(r)(E,1)/r! |
Ω |
0.74260349985489 |
Real period |
R |
4.797929504444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504i1 |
Quadratic twists by: -3 |