Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016g |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
36 |
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 |
[-105:138:1] |
Generators of the group modulo torsion |
j |
218536338734500/115912101087 |
j-invariant |
L |
6.9867852618509 |
L(r)(E,1)/r! |
Ω |
0.47805742153769 |
Real period |
R |
1.6238833214678 |
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 |
16008a2 128064cs2 96048f2 |
Quadratic twists by: -4 8 -3 |