Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596bc |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
666731520 |
Modular degree for the optimal curve |
Δ |
-5.1259222942594E+31 |
Discriminant |
Eigenvalues |
2- 3- 3 1 4 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192364405311,32475781913778502] |
[a1,a2,a3,a4,a6] |
j |
-397777478487155151759376/25900870105595097 |
j-invariant |
L |
5.6955011536692 |
L(r)(E,1)/r! |
Ω |
0.018985003256895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532o1 115596bh1 |
Quadratic twists by: -3 13 |