Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ez |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
2435443200000 = 212 · 38 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1087428,-436464448] |
[a1,a2,a3,a4,a6] |
j |
47625305001386176/815625 |
j-invariant |
L |
2.365480668339 |
L(r)(E,1)/r! |
Ω |
0.14784254407397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ey1 41760k1 27840cu1 |
Quadratic twists by: -4 8 -3 |