Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064dk |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-96517226496 = -1 · 221 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115918337,-480409138689] |
[a1,a2,a3,a4,a6] |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
0.73617802648505 |
L(r)(E,1)/r! |
Ω |
0.023005491872746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064e1 32016w1 |
Quadratic twists by: -4 8 |