Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486t |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-19991333466 = -1 · 2 · 36 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -4 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-289382,59989983] |
[a1,a2,a3,a4,a6] |
j |
-3676286237182512409/27422954 |
j-invariant |
L |
5.0362637868449 |
L(r)(E,1)/r! |
Ω |
0.83937729780749 |
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 |
2054a1 |
Quadratic twists by: -3 |