Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gp |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
61765725000000 = 26 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32258,2186988] |
[a1,a2,a3,a4,a6] |
j |
31554496/525 |
j-invariant |
L |
4.9904195540112 |
L(r)(E,1)/r! |
Ω |
0.62380249163997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600es1 23520g1 16800bd1 |
Quadratic twists by: -4 5 -7 |