Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960g |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3008102400 = 218 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17388,-882512] |
[a1,a2,a3,a4,a6] |
Generators |
[24456:727748:27] |
Generators of the group modulo torsion |
j |
82142689923/425 |
j-invariant |
L |
6.9793393587866 |
L(r)(E,1)/r! |
Ω |
0.41575480924117 |
Real period |
R |
8.3935762180648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dn2 765b2 48960ba2 |
Quadratic twists by: -4 8 -3 |