Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gt |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
4494336 |
Modular degree for the optimal curve |
Δ |
2.2397406034825E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17977235,28445311667] |
[a1,a2,a3,a4,a6] |
Generators |
[-1845:236146:1] |
Generators of the group modulo torsion |
j |
32893747448573/1146617856 |
j-invariant |
L |
9.9366167287443 |
L(r)(E,1)/r! |
Ω |
0.11972092183615 |
Real period |
R |
0.18201351798278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bn1 54450da1 54450cz1 |
Quadratic twists by: -3 5 -11 |