Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376r |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
13973766757433344 = 214 · 318 |
Discriminant |
Eigenvalues |
2- -1 -3 1 -3 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69512,-4149776] |
[a1,a2,a3,a4,a6] |
j |
10633/4 |
j-invariant |
L |
1.2137023357413 |
L(r)(E,1)/r! |
Ω |
0.30342558393533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922a1 61504bg1 15376v1 |
Quadratic twists by: -4 8 -31 |