Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672y |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-56494571952 = -1 · 24 · 3 · 72 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,447,-10992] |
[a1,a2,a3,a4,a6] |
Generators |
[18944:2607332:1] |
Generators of the group modulo torsion |
j |
615962624000/3530910747 |
j-invariant |
L |
5.1746454450776 |
L(r)(E,1)/r! |
Ω |
0.55901407762562 |
Real period |
R |
4.628367670236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668e1 |
Quadratic twists by: -4 |