Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
63200v |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
780125000000 = 26 · 59 · 792 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3458,-64588] |
[a1,a2,a3,a4,a6] |
j |
36594368/6241 |
j-invariant |
L |
5.0384104514218 |
L(r)(E,1)/r! |
Ω |
0.62980130636649 |
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 |
63200s1 126400ct2 63200k1 |
Quadratic twists by: -4 8 5 |