Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552j |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
22468223232 = 28 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361191,83551354] |
[a1,a2,a3,a4,a6] |
Generators |
[299:1512:1] |
Generators of the group modulo torsion |
j |
27923315228972368/120393 |
j-invariant |
L |
3.4607560709352 |
L(r)(E,1)/r! |
Ω |
0.81111897475625 |
Real period |
R |
0.71110736703273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104n1 52416da1 2184l1 45864t1 |
Quadratic twists by: -4 8 -3 -7 |