Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5394l |
Isogeny class |
Conductor |
5394 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
111485435904 = 214 · 32 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -6 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1490,15108] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:190:1] |
Generators of the group modulo torsion |
j |
365848041353761/111485435904 |
j-invariant |
L |
6.4996145630912 |
L(r)(E,1)/r! |
Ω |
0.97719612805175 |
Real period |
R |
0.079182020502466 |
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 |
43152w1 16182d1 |
Quadratic twists by: -4 -3 |