Atkin-Lehner |
3- 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533g |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16127924337 = 37 · 72 · 19 · 892 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 0 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2619,-50576] |
[a1,a2,a3,a4,a6] |
j |
2725812332209/22123353 |
j-invariant |
L |
1.3353663690288 |
L(r)(E,1)/r! |
Ω |
0.66768326746309 |
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 |
35511b2 |
Quadratic twists by: -3 |