Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bk |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-76168594999738368 = -1 · 232 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23829,13202714] |
[a1,a2,a3,a4,a6] |
j |
501133790807/25508708352 |
j-invariant |
L |
1.045868694161 |
L(r)(E,1)/r! |
Ω |
0.26146726887657 |
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 |
16218q1 43248n1 |
Quadratic twists by: -4 -3 |