Atkin-Lehner |
2+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8944b |
Isogeny class |
Conductor |
8944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-53133513472 = -1 · 28 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 0 4 2 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-503,11910] |
[a1,a2,a3,a4,a6] |
j |
-54977843664/207552787 |
j-invariant |
L |
2.9401353251826 |
L(r)(E,1)/r! |
Ω |
0.98004510839419 |
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 |
4472c2 35776f2 80496r2 116272b2 |
Quadratic twists by: -4 8 -3 13 |