Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420g |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4711446777399120 = 24 · 314 · 5 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87888,-9469303] |
[a1,a2,a3,a4,a6] |
j |
6436724870742016/403930622205 |
j-invariant |
L |
1.6702164927598 |
L(r)(E,1)/r! |
Ω |
0.27836941523593 |
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 |
19140d1 |
Quadratic twists by: -3 |