Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064di |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11955882921984 = 212 · 38 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6969,147591] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:504:1] [-69:552:1] |
Generators of the group modulo torsion |
j |
9139816453312/2918916729 |
j-invariant |
L |
11.929374805687 |
L(r)(E,1)/r! |
Ω |
0.65987983968469 |
Real period |
R |
2.2597627044343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128064bv2 64032y1 |
Quadratic twists by: -4 8 |