Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352em |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-99151951675392 = -1 · 214 · 310 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,996,-478928] |
[a1,a2,a3,a4,a6] |
j |
9148592/8301447 |
j-invariant |
L |
1.1165436155221 |
L(r)(E,1)/r! |
Ω |
0.27913590386567 |
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 |
44352bn1 11088y1 14784cr1 |
Quadratic twists by: -4 8 -3 |