Atkin-Lehner |
2- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344x |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[15:32:1] |
Generators of the group modulo torsion |
j |
-117649/4042 |
j-invariant |
L |
2.4737925916512 |
L(r)(E,1)/r! |
Ω |
0.67724166292955 |
Real period |
R |
0.91318683059687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996797472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344n1 32336l1 |
Quadratic twists by: -4 8 |