Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144p |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-153871301376 = -1 · 28 · 313 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -4 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,-43292] |
[a1,a2,a3,a4,a6] |
Generators |
[344:6318:1] |
Generators of the group modulo torsion |
j |
-6072054784/824499 |
j-invariant |
L |
6.1164262679153 |
L(r)(E,1)/r! |
Ω |
0.34704543085888 |
Real period |
R |
2.2030351519029 |
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 |
54288n1 9048i1 |
Quadratic twists by: -4 -3 |