Atkin-Lehner |
2+ 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778j |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
2.4840401129036E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16323102,-25368128748] |
[a1,a2,a3,a4,a6] |
j |
659787802000756947078625/340746243196649472 |
j-invariant |
L |
1.5022504303016 |
L(r)(E,1)/r! |
Ω |
0.075112521555754 |
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 |
16926bi1 |
Quadratic twists by: -3 |