Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064di |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-940840154136576 = -1 · 215 · 316 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19711,1028031] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:900:1] [7:1080:1] |
Generators of the group modulo torsion |
j |
25845070293496/28712162907 |
j-invariant |
L |
11.929374805687 |
L(r)(E,1)/r! |
Ω |
0.32993991984235 |
Real period |
R |
2.2597627044343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bv3 64032y2 |
Quadratic twists by: -4 8 |