Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248br |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17971200 |
Modular degree for the optimal curve |
Δ |
2.8002503649126E+24 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11+ 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40032961,54994058593] |
[a1,a2,a3,a4,a6] |
Generators |
[1048586164224453:-509973258523228160:2587716619489] |
Generators of the group modulo torsion |
j |
27066801716613381357361/10682107410097677312 |
j-invariant |
L |
8.5843806983289 |
L(r)(E,1)/r! |
Ω |
0.073287915809009 |
Real period |
R |
19.522046719016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248be1 15312x1 |
Quadratic twists by: -4 8 |