Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824u |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
40330363322368 = 214 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 7- 3 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,128752] |
[a1,a2,a3,a4,a6] |
j |
493039/244 |
j-invariant |
L |
2.2892622609332 |
L(r)(E,1)/r! |
Ω |
0.57231556538865 |
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 |
5978d1 47824j1 |
Quadratic twists by: -4 -7 |