Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289p |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-595865754278733771 = -1 · 36 · 73 · 196 · 373 |
Discriminant |
Eigenvalues |
0 3- -3 7- -3 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,209976,-2790918] |
[a1,a2,a3,a4,a6] |
Generators |
[130:6323:8] |
Generators of the group modulo torsion |
j |
1404446365448142848/817374148530499 |
j-invariant |
L |
3.2062089649292 |
L(r)(E,1)/r! |
Ω |
0.17144003810923 |
Real period |
R |
1.5584695579714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4921e2 |
Quadratic twists by: -3 |