Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064dg |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
286005974396829696 = 220 · 36 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-969537,366222015] |
[a1,a2,a3,a4,a6] |
j |
384483228869610577/1091026208484 |
j-invariant |
L |
7.4228232868112 |
L(r)(E,1)/r! |
Ω |
0.30928429369221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128064c2 32016v2 |
Quadratic twists by: -4 8 |