Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934bl |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-29075132736 = -1 · 26 · 37 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-394637,95519733] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-696:1] |
Generators of the group modulo torsion |
j |
-9323705665435012489/39883584 |
j-invariant |
L |
9.9570221577852 |
L(r)(E,1)/r! |
Ω |
0.7935977399453 |
Real period |
R |
0.26138930255742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978c1 |
Quadratic twists by: -3 |