Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bd |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
1.825287833743E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20774043,-36431582292] |
[a1,a2,a3,a4,a6] |
j |
12838276213282048000/2363476358997 |
j-invariant |
L |
0.28286897602509 |
L(r)(E,1)/r! |
Ω |
0.070717043242369 |
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 |
9048a1 |
Quadratic twists by: 13 |