Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860n |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-9.8773526851787E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131223,478515598] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:22126:1] |
Generators of the group modulo torsion |
j |
-1339017045088336/529264868675985 |
j-invariant |
L |
4.1711983708723 |
L(r)(E,1)/r! |
Ω |
0.15373424186265 |
Real period |
R |
4.5220877281795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992902 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
22620k4 |
Quadratic twists by: -3 |