Atkin-Lehner |
5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005c |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
142746847359605 = 5 · 198 · 412 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13718,-228062] |
[a1,a2,a3,a4,a6] |
j |
16809984/8405 |
j-invariant |
L |
0.92934036249652 |
L(r)(E,1)/r! |
Ω |
0.46467017201784 |
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 |
74005d1 |
Quadratic twists by: -19 |