Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
129514m |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-154075895191988 = -1 · 22 · 7 · 11 · 298 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1524,596387] |
[a1,a2,a3,a4,a6] |
Generators |
[3380:56307:64] |
Generators of the group modulo torsion |
j |
783/308 |
j-invariant |
L |
8.7973184689664 |
L(r)(E,1)/r! |
Ω |
0.44829872217657 |
Real period |
R |
3.2706310629774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514d1 |
Quadratic twists by: 29 |