Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bx |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
186857280000000 = 212 · 38 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-950008,356083988] |
[a1,a2,a3,a4,a6] |
j |
1481582988342001/2919645 |
j-invariant |
L |
3.9028513283887 |
L(r)(E,1)/r! |
Ω |
0.48785647012443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6675e3 21360j4 |
Quadratic twists by: -4 5 |