Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542s |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
5243616 |
Modular degree for the optimal curve |
Δ |
1.408669405836E+24 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -2 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92082036,-335313259083] |
[a1,a2,a3,a4,a6] |
j |
298779371619116129414560801/4874288601508740071424 |
j-invariant |
L |
1.6586864915085 |
L(r)(E,1)/r! |
Ω |
0.048784896809073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67626e1 22542y1 |
Quadratic twists by: -3 17 |