Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7688d |
Isogeny class |
Conductor |
7688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
218340105584896 = 28 · 318 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -1 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188676,-31599424] |
[a1,a2,a3,a4,a6] |
j |
3402064 |
j-invariant |
L |
0.91630034454688 |
L(r)(E,1)/r! |
Ω |
0.22907508613672 |
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 |
15376d1 61504d1 69192d1 7688k1 |
Quadratic twists by: -4 8 -3 -31 |