Atkin-Lehner |
2- 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
13884f |
Isogeny class |
Conductor |
13884 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1461600 |
Modular degree for the optimal curve |
Δ |
-4.5069455975536E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3683181,-10571455953] |
[a1,a2,a3,a4,a6] |
j |
-21585049530767737298944/176052562404438754827 |
j-invariant |
L |
4.3161965409197 |
L(r)(E,1)/r! |
Ω |
0.047957739343553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536z1 41652f1 |
Quadratic twists by: -4 -3 |