Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488p |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
-8138897433641108992 = -1 · 29 · 117 · 138 |
Discriminant |
Eigenvalues |
2- 2 0 2 11+ 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,377152,104240408] |
[a1,a2,a3,a4,a6] |
j |
14205451000/19487171 |
j-invariant |
L |
3.9359165874959 |
L(r)(E,1)/r! |
Ω |
0.15743666362056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488x1 118976dh1 59488j1 |
Quadratic twists by: -4 8 13 |