Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848cu |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-698709398962176 = -1 · 214 · 311 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2715,-1269693] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3213:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
6.8446696894166 |
L(r)(E,1)/r! |
Ω |
0.23886336278986 |
Real period |
R |
0.43416920575445 |
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 |
22848e1 5712f1 68544ej1 |
Quadratic twists by: -4 8 -3 |