Atkin-Lehner |
2+ 7+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584a |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16398714154554368 = 210 · 712 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63899,832218] |
[a1,a2,a3,a4,a6] |
Generators |
[-96475:17304436:15625] |
Generators of the group modulo torsion |
j |
28177725912663492/16014369291557 |
j-invariant |
L |
7.3694572451696 |
L(r)(E,1)/r! |
Ω |
0.33611233291866 |
Real period |
R |
10.96278923086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998884718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64792b3 |
Quadratic twists by: -4 |