Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dy |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5863421509632 = 219 · 36 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14432225,21098377119] |
[a1,a2,a3,a4,a6] |
Generators |
[2197:-324:1] |
Generators of the group modulo torsion |
j |
1268188156752269618809/22367178 |
j-invariant |
L |
6.9587920819202 |
L(r)(E,1)/r! |
Ω |
0.39040697743195 |
Real period |
R |
1.485371335072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064n2 32016t2 |
Quadratic twists by: -4 8 |