Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7688g |
Isogeny class |
Conductor |
7688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
218340105584896 = 28 · 318 |
Discriminant |
Eigenvalues |
2- 3 3 3 5 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29791,1847042] |
[a1,a2,a3,a4,a6] |
j |
13392 |
j-invariant |
L |
6.5853825195607 |
L(r)(E,1)/r! |
Ω |
0.54878187663006 |
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 |
15376e1 61504i1 69192h1 7688q1 |
Quadratic twists by: -4 8 -3 -31 |