Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865n |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-22467377676399975 = -1 · 310 · 52 · 118 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27349,-7421053] |
[a1,a2,a3,a4,a6] |
j |
-1276935990049/12682248975 |
j-invariant |
L |
6.4639049544468 |
L(r)(E,1)/r! |
Ω |
0.16159767774981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715g1 |
Quadratic twists by: -11 |