Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65366q |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54358831859338496 = 28 · 712 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 2 2 7- -6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1948192,-1047387839] |
[a1,a2,a3,a4,a6] |
j |
6950735348004218737/462042447104 |
j-invariant |
L |
8.1784936457647 |
L(r)(E,1)/r! |
Ω |
0.12778896328137 |
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 |
9338j2 |
Quadratic twists by: -7 |