Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170m |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.388327635244E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79206957,256433414301] |
[a1,a2,a3,a4,a6] |
Generators |
[-8883:513549:1] |
Generators of the group modulo torsion |
j |
467116778179943012100169/28800309694464000000 |
j-invariant |
L |
3.3182024421056 |
L(r)(E,1)/r! |
Ω |
0.077993188630914 |
Real period |
R |
3.5453976818927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360hy6 48510dk6 80850fx6 2310g6 |
Quadratic twists by: -4 -3 5 -7 |