Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944cn |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-886464 = -1 · 26 · 36 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27696,-1774082] |
[a1,a2,a3,a4,a6] |
j |
-50357871050752/19 |
j-invariant |
L |
3.3307175198292 |
L(r)(E,1)/r! |
Ω |
0.18503986221273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10944t3 2736q3 1216q3 |
Quadratic twists by: -4 8 -3 |