Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784br |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1456777986048 = 218 · 38 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289217,59962977] |
[a1,a2,a3,a4,a6] |
j |
10206027697760497/5557167 |
j-invariant |
L |
1.3978417193399 |
L(r)(E,1)/r! |
Ω |
0.69892085966994 |
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 |
14784bm5 3696w5 44352ea6 103488hy6 |
Quadratic twists by: -4 8 -3 -7 |