Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bk |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
24499200 |
Modular degree for the optimal curve |
Δ |
1.5123993824734E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-779909918,-8383100380243] |
[a1,a2,a3,a4,a6] |
j |
143861813219395321/4147200 |
j-invariant |
L |
3.7710507638868 |
L(r)(E,1)/r! |
Ω |
0.028568566207756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230n1 75690g1 |
Quadratic twists by: -3 29 |