Atkin-Lehner |
3+ 7+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106533f |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1518380651907 = 39 · 74 · 192 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13340,593380] |
[a1,a2,a3,a4,a6] |
j |
13337345050875/77141729 |
j-invariant |
L |
1.7053829677107 |
L(r)(E,1)/r! |
Ω |
0.85269148361488 |
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 |
106533a2 |
Quadratic twists by: -3 |