Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744k |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6597888 = 28 · 3 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1132,14288] |
[a1,a2,a3,a4,a6] |
j |
627200828368/25773 |
j-invariant |
L |
4.455491297413 |
L(r)(E,1)/r! |
Ω |
2.2277456487065 |
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 |
37488e2 56232d2 |
Quadratic twists by: -4 -3 |