Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cn |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-131137536 = -1 · 216 · 3 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -5 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,609] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:28:1] |
Generators of the group modulo torsion |
j |
-470596/2001 |
j-invariant |
L |
6.4861142390242 |
L(r)(E,1)/r! |
Ω |
1.6111230723245 |
Real period |
R |
2.0129170634427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064w1 32016j1 |
Quadratic twists by: -4 8 |