Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cn |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1193465027993062500 = -1 · 22 · 34 · 56 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,194769,-40825539] |
[a1,a2,a3,a4,a6] |
j |
169286748026759/247257562500 |
j-invariant |
L |
4.6424751708247 |
L(r)(E,1)/r! |
Ω |
0.14507734959513 |
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 |
6630n2 |
Quadratic twists by: 13 |