Atkin-Lehner |
5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575k |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
1.6690044658643E+19 |
Discriminant |
Eigenvalues |
2 -2 5+ 7+ 5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3398158,2401932719] |
[a1,a2,a3,a4,a6] |
j |
39814672384/153125 |
j-invariant |
L |
3.5305569227403 |
L(r)(E,1)/r! |
Ω |
0.22065980767026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115f1 50575r1 |
Quadratic twists by: 5 17 |