Atkin-Lehner |
5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975g |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
79626240 |
Modular degree for the optimal curve |
Δ |
2.9982285867211E+27 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2959246776,-61905425422927] |
[a1,a2,a3,a4,a6] |
j |
183420230680255230928528054129/191886629550152083990625 |
j-invariant |
L |
0.24564774887809 |
L(r)(E,1)/r! |
Ω |
0.020470645498382 |
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 |
13195d1 |
Quadratic twists by: 5 |