Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960i |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
6.8516685745751E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18892443,31581682918] |
[a1,a2,a3,a4,a6] |
j |
998988730325355742564/917843977003905 |
j-invariant |
L |
0.32040709098273 |
L(r)(E,1)/r! |
Ω |
0.16020354514296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920z1 19320z1 |
Quadratic twists by: -4 -3 |