Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440y |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
8242646220800 = 226 · 52 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- -2 6 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163425,-25482977] |
[a1,a2,a3,a4,a6] |
j |
1841373668746009/31443200 |
j-invariant |
L |
1.4246933762426 |
L(r)(E,1)/r! |
Ω |
0.23744889604044 |
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 |
5440l1 1360f1 48960ej1 27200by1 |
Quadratic twists by: -4 8 -3 5 |