Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bn |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-601353882889056000 = -1 · 28 · 39 · 53 · 112 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58262,-37685851] |
[a1,a2,a3,a4,a6] |
j |
-30001665327550489/824902445664000 |
j-invariant |
L |
6.0357280375954 |
L(r)(E,1)/r! |
Ω |
0.12574433411632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17490g1 |
Quadratic twists by: -3 |