Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352w |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-23570471232 = -1 · 26 · 314 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,681,2788] |
[a1,a2,a3,a4,a6] |
j |
748613312/505197 |
j-invariant |
L |
3.0203222433719 |
L(r)(E,1)/r! |
Ω |
0.75508056082866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cn1 22176d2 14784ba1 |
Quadratic twists by: -4 8 -3 |