Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120s |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.6074188401E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8817519,7171379775] |
[a1,a2,a3,a4,a6] |
j |
3834800837445824/3342041015625 |
j-invariant |
L |
4.5835591741299 |
L(r)(E,1)/r! |
Ω |
0.071618112648491 |
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 |
81120f2 6240bf4 |
Quadratic twists by: -4 13 |