Atkin-Lehner |
3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16641d |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-5350205722419081 = -1 · 39 · 437 |
Discriminant |
Eigenvalues |
-1 3+ 1 3 -3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28082,3964978] |
[a1,a2,a3,a4,a6] |
j |
-19683/43 |
j-invariant |
L |
1.5253112385187 |
L(r)(E,1)/r! |
Ω |
0.38132780962969 |
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 |
16641c1 387b1 |
Quadratic twists by: -3 -43 |