Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15912p |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
942736165143552 = 210 · 38 · 134 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128595,-17687842] |
[a1,a2,a3,a4,a6] |
j |
315042014258500/1262881737 |
j-invariant |
L |
1.5130368505924 |
L(r)(E,1)/r! |
Ω |
0.25217280843207 |
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 |
31824j1 127296bj1 5304a1 |
Quadratic twists by: -4 8 -3 |