Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cf |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
724579236446208 = 230 · 3 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31896,1758612] |
[a1,a2,a3,a4,a6] |
j |
658275956099/132907008 |
j-invariant |
L |
7.6882279483048 |
L(r)(E,1)/r! |
Ω |
0.48051424649695 |
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 |
9438c1 75504cc1 |
Quadratic twists by: -4 -11 |