Atkin-Lehner |
3- 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475q |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-26408671875 = -1 · 32 · 57 · 232 · 71 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 0 -3 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,92,-7781] |
[a1,a2,a3,a4,a6] |
j |
5451776/1690155 |
j-invariant |
L |
4.4652675458272 |
L(r)(E,1)/r! |
Ω |
0.55815882313494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495a1 |
Quadratic twists by: 5 |