Atkin-Lehner |
3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277r |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-69506544265866747 = -1 · 311 · 139 · 37 |
Discriminant |
Eigenvalues |
-2 3- 2 -2 5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125229,21256524] |
[a1,a2,a3,a4,a6] |
j |
-28094464/8991 |
j-invariant |
L |
1.3111518404787 |
L(r)(E,1)/r! |
Ω |
0.32778796131364 |
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 |
18759m1 56277q1 |
Quadratic twists by: -3 13 |