Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cu |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
9.6705423215576E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51998515,-144319237843] |
[a1,a2,a3,a4,a6] |
j |
3221338935539503699129/200350631681460 |
j-invariant |
L |
4.4977303947046 |
L(r)(E,1)/r! |
Ω |
0.056221630958622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630j3 |
Quadratic twists by: 13 |