Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
11376p |
Isogeny class |
Conductor |
11376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
247351461543936 = 232 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60483,5675074] |
[a1,a2,a3,a4,a6] |
j |
8194759433281/82837504 |
j-invariant |
L |
1.1145475868549 |
L(r)(E,1)/r! |
Ω |
0.55727379342746 |
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 |
1422b1 45504br1 1264e1 |
Quadratic twists by: -4 8 -3 |