Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16008a |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
118693991513088 = 210 · 33 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12648,162396] |
[a1,a2,a3,a4,a6] |
Generators |
[3466:69659:8] |
Generators of the group modulo torsion |
j |
218536338734500/115912101087 |
j-invariant |
L |
3.9041202461732 |
L(r)(E,1)/r! |
Ω |
0.51692892487333 |
Real period |
R |
7.5525281297228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32016g2 128064bc2 48024k2 |
Quadratic twists by: -4 8 -3 |