Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690k |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
1422366480 = 24 · 36 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-375,-2035] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:25:1] |
Generators of the group modulo torsion |
j |
328509/80 |
j-invariant |
L |
4.8570870166075 |
L(r)(E,1)/r! |
Ω |
1.1040234062393 |
Real period |
R |
1.0998605165818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8410m1 75690bl1 |
Quadratic twists by: -3 29 |