Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344n |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129792 |
Modular degree for the optimal curve |
Δ |
-1059586048 = -1 · 219 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -4 5 -4 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,1601] |
[a1,a2,a3,a4,a6] |
j |
-117649/4042 |
j-invariant |
L |
2.5906922288081 |
L(r)(E,1)/r! |
Ω |
1.2953451363446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344x1 4042b1 |
Quadratic twists by: -4 8 |