Atkin-Lehner |
2- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33872h |
Isogeny class |
Conductor |
33872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
541952 = 28 · 29 · 73 |
Discriminant |
Eigenvalues |
2- 2 0 -2 5 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19533,-1044271] |
[a1,a2,a3,a4,a6] |
Generators |
[60778:5296293:8] |
Generators of the group modulo torsion |
j |
3219680896000000/2117 |
j-invariant |
L |
8.3451643220785 |
L(r)(E,1)/r! |
Ω |
0.40383640245862 |
Real period |
R |
10.332357696423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8468d1 |
Quadratic twists by: -4 |