Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222t |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37380096 |
Modular degree for the optimal curve |
Δ |
5.9850500027987E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071058041,12968401028589] |
[a1,a2,a3,a4,a6] |
Generators |
[-18552256102241197881394650:-7400719330041525364293889299:1502928449342558240003] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
6.3169019078877 |
L(r)(E,1)/r! |
Ω |
0.042101513211294 |
Real period |
R |
37.509945760422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bb1 3366b1 |
Quadratic twists by: -3 17 |