Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930y |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7437112899840 = 28 · 312 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7493,-210499] |
[a1,a2,a3,a4,a6] |
j |
63812982460681/10201800960 |
j-invariant |
L |
4.1495039181183 |
L(r)(E,1)/r! |
Ω |
0.51868798976621 |
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 |
11310f1 |
Quadratic twists by: -3 |