Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960bn |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-429178880 = -1 · 214 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 2 4 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,995] |
[a1,a2,a3,a4,a6] |
Generators |
[38:239:1] |
Generators of the group modulo torsion |
j |
-1024/26195 |
j-invariant |
L |
10.189800384569 |
L(r)(E,1)/r! |
Ω |
1.3382449080185 |
Real period |
R |
3.8071508049317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960s1 32240c1 |
Quadratic twists by: -4 8 |