Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222br |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
912 |
Product of Tamagawa factors cp |
deg |
111132672 |
Modular degree for the optimal curve |
Δ |
9.4887054663039E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7731159134,261228419657453] |
[a1,a2,a3,a4,a6] |
j |
591139158854005457801/1097587482427392 |
j-invariant |
L |
7.7101244434881 |
L(r)(E,1)/r! |
Ω |
0.033816335277463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074h1 57222bk1 |
Quadratic twists by: -3 17 |