Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190ci |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-487222909070376960 = -1 · 215 · 36 · 5 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4510256,-3687331584] |
[a1,a2,a3,a4,a6] |
Generators |
[2680:57616:1] |
Generators of the group modulo torsion |
j |
-60039987383782546728601/2882975793315840 |
j-invariant |
L |
13.439674980306 |
L(r)(E,1)/r! |
Ω |
0.051798598472671 |
Real period |
R |
1.4414455830929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190be2 |
Quadratic twists by: 13 |