Atkin-Lehner |
2+ 3+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56088a |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
232391246496768 = 210 · 39 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58779,-5435802] |
[a1,a2,a3,a4,a6] |
j |
1114292077164/11529979 |
j-invariant |
L |
2.4544568690049 |
L(r)(E,1)/r! |
Ω |
0.30680710874464 |
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 |
112176d1 56088f1 |
Quadratic twists by: -4 -3 |