Atkin-Lehner |
2+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096d |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-604266445515259904 = -1 · 221 · 13 · 536 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29951,-37356799] |
[a1,a2,a3,a4,a6] |
j |
11334523606847/2305093557416 |
j-invariant |
L |
1.6374912517548 |
L(r)(E,1)/r! |
Ω |
0.1364576043486 |
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 |
44096n2 1378d2 |
Quadratic twists by: -4 8 |