Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dw |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-933466356056064 = -1 · 220 · 3 · 233 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20991,-882177] |
[a1,a2,a3,a4,a6] |
Generators |
[2321:112056:1] |
Generators of the group modulo torsion |
j |
3901777377407/3560891556 |
j-invariant |
L |
13.484454526753 |
L(r)(E,1)/r! |
Ω |
0.27227478420341 |
Real period |
R |
2.7513982464612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064m2 32016s2 |
Quadratic twists by: -4 8 |