Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150bb |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
252217546875000 = 23 · 34 · 59 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-896400026,10329939152948] |
[a1,a2,a3,a4,a6] |
j |
5098110762442119719364981649/16141923000 |
j-invariant |
L |
2.8310945001896 |
L(r)(E,1)/r! |
Ω |
0.17694341640855 |
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 |
17430v3 |
Quadratic twists by: 5 |