Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290cj |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
2.654902188872E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19906741,-23541461525] |
[a1,a2,a3,a4,a6] |
j |
64180888499/19531250 |
j-invariant |
L |
1.1706268901665 |
L(r)(E,1)/r! |
Ω |
0.073164180610765 |
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 |
59290dx1 59290a1 |
Quadratic twists by: -7 -11 |