Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bn |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
2 |
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 |
[309:1000:27] |
Generators of the group modulo torsion |
j |
6728 |
j-invariant |
L |
10.996535688642 |
L(r)(E,1)/r! |
Ω |
1.1525643371439 |
Real period |
R |
4.7704650118903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824bp1 26912d1 53824bd1 |
Quadratic twists by: -4 8 29 |