Atkin-Lehner |
2+ 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064n |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
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] |
j |
1268188156752269618809/22367178 |
j-invariant |
L |
0.30983301449159 |
L(r)(E,1)/r! |
Ω |
0.077457991138544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dy2 4002e2 |
Quadratic twists by: -4 8 |