Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279p |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2927232 |
Modular degree for the optimal curve |
Δ |
-2.9586545546878E+20 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 11- 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1647418,-1160849923] |
[a1,a2,a3,a4,a6] |
j |
-19063731040321/11406894093 |
j-invariant |
L |
1.5565065598443 |
L(r)(E,1)/r! |
Ω |
0.064854440004663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279v1 |
Quadratic twists by: -11 |