Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.4580156782822E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47916147,-127663412686] |
[a1,a2,a3,a4,a6] |
j |
4074571110566294433649/48828650062500 |
j-invariant |
L |
1.3771797771441 |
L(r)(E,1)/r! |
Ω |
0.057382490677565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930o6 18480bm6 |
Quadratic twists by: -4 -3 |