Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cw |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
7664505421749630480 = 24 · 312 · 5 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-493230,-5917068] |
[a1,a2,a3,a4,a6] |
j |
2749236527524969/1587903192720 |
j-invariant |
L |
4.7222196628637 |
L(r)(E,1)/r! |
Ω |
0.19675915649906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630k1 |
Quadratic twists by: 13 |