Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016bb |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2353958637010944 = 221 · 3 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124624,16730516] |
[a1,a2,a3,a4,a6] |
Generators |
[-3300:148258:27] |
Generators of the group modulo torsion |
j |
52260349338689617/574696932864 |
j-invariant |
L |
5.5089837146747 |
L(r)(E,1)/r! |
Ω |
0.46172190494293 |
Real period |
R |
5.9656945617032 |
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 |
4002j2 128064cg2 96048bq2 |
Quadratic twists by: -4 8 -3 |