Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27666o |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-324283808748024 = -1 · 23 · 311 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -2 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266243,52950395] |
[a1,a2,a3,a4,a6] |
Generators |
[249:1306:1] |
Generators of the group modulo torsion |
j |
-2863052087679400681/444833756856 |
j-invariant |
L |
6.4666355579587 |
L(r)(E,1)/r! |
Ω |
0.52441479671347 |
Real period |
R |
0.51379776073614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9222e1 |
Quadratic twists by: -3 |