Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cn |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4710626632138752 = 218 · 314 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56460,3969808] |
[a1,a2,a3,a4,a6] |
j |
104154702625/24649677 |
j-invariant |
L |
1.632070874564 |
L(r)(E,1)/r! |
Ω |
0.40801817638702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296u2 31824r2 42432ck2 |
Quadratic twists by: -4 8 -3 |