Atkin-Lehner |
3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56637l |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
763200 |
Modular degree for the optimal curve |
Δ |
-6696786009123 = -1 · 36 · 73 · 29 · 314 |
Discriminant |
Eigenvalues |
2 3- -4 7- 6 -4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151707,22743801] |
[a1,a2,a3,a4,a6] |
j |
-529679353323556864/9186263387 |
j-invariant |
L |
4.1280573565328 |
L(r)(E,1)/r! |
Ω |
0.68800955971422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293e1 |
Quadratic twists by: -3 |