Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cl |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1248142500000000 = 28 · 33 · 510 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91213,-10473583] |
[a1,a2,a3,a4,a6] |
j |
5371235613671689/79881120000 |
j-invariant |
L |
6.5991472193483 |
L(r)(E,1)/r! |
Ω |
0.27496446772684 |
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 |
13530b1 |
Quadratic twists by: 5 |