Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162k |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
156128233528169892 = 22 · 39 · 119 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153753,-13268359] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:736:1] |
Generators of the group modulo torsion |
j |
11527859979/4477484 |
j-invariant |
L |
4.2241334653935 |
L(r)(E,1)/r! |
Ω |
0.24919595105848 |
Real period |
R |
4.237762940013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bm1 5742p1 |
Quadratic twists by: -3 -11 |