Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190db |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
53507327749200 = 24 · 36 · 52 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25620,-1540800] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:240:1] |
Generators of the group modulo torsion |
j |
846509996114173/24354723600 |
j-invariant |
L |
15.835869841134 |
L(r)(E,1)/r! |
Ω |
0.37802317324012 |
Real period |
R |
0.87273473790106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190bc2 |
Quadratic twists by: 13 |