Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bq |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-17830941910106112 = -1 · 220 · 39 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364395,84908954] |
[a1,a2,a3,a4,a6] |
j |
-1792063785219625/5971546368 |
j-invariant |
L |
1.560144657357 |
L(r)(E,1)/r! |
Ω |
0.39003599855857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182r1 43152l1 |
Quadratic twists by: -4 -3 |