Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792i |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
17602230096 = 24 · 33 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25087,1537780] |
[a1,a2,a3,a4,a6] |
Generators |
[186:7865:8] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
7.9877557160093 |
L(r)(E,1)/r! |
Ω |
1.1116621970944 |
Real period |
R |
3.5927081701644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552d1 |
Quadratic twists by: -11 |