Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240f |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
638794018329680 = 24 · 5 · 418 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25775,1020118] |
[a1,a2,a3,a4,a6] |
j |
24918016/8405 |
j-invariant |
L |
0.9438159720718 |
L(r)(E,1)/r! |
Ω |
0.4719079856952 |
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 |
1640b1 |
Quadratic twists by: 41 |