Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16856d |
Isogeny class |
Conductor |
16856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
507671435264 = 211 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89784,10384844] |
[a1,a2,a3,a4,a6] |
j |
332205796946/2107 |
j-invariant |
L |
3.3142828081875 |
L(r)(E,1)/r! |
Ω |
0.82857070204688 |
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 |
33712h2 2408a2 |
Quadratic twists by: -4 -7 |