Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bp |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
23176183808 = 215 · 294 |
Discriminant |
Eigenvalues |
2- -2 4 3 -2 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,-12833] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] |
Generators of the group modulo torsion |
j |
6728 |
j-invariant |
L |
5.5832269585701 |
L(r)(E,1)/r! |
Ω |
0.83323105823631 |
Real period |
R |
1.6751736818322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824bn1 26912c1 53824ba1 |
Quadratic twists by: -4 8 29 |