Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bp |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115880067072 = 215 · 38 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1862796,-978579376] |
[a1,a2,a3,a4,a6] |
Generators |
[13298:182061:8] |
Generators of the group modulo torsion |
j |
29925549856274696/4851 |
j-invariant |
L |
4.1826731839747 |
L(r)(E,1)/r! |
Ω |
0.12922847832588 |
Real period |
R |
8.0916243040463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cd4 22176k4 14784c3 |
Quadratic twists by: -4 8 -3 |