Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8944a |
Isogeny class |
Conductor |
8944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-1144832 = -1 · 211 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 4 5 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,52] |
[a1,a2,a3,a4,a6] |
j |
-235298/559 |
j-invariant |
L |
4.8642869378273 |
L(r)(E,1)/r! |
Ω |
2.4321434689136 |
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 |
4472a1 35776i1 80496p1 116272h1 |
Quadratic twists by: -4 8 -3 13 |