Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dr |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-128064 = -1 · 26 · 3 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 0 3 -3 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,-522] |
[a1,a2,a3,a4,a6] |
Generators |
[22383477:70162374:1295029] |
Generators of the group modulo torsion |
j |
-2720547136/2001 |
j-invariant |
L |
9.1246571086664 |
L(r)(E,1)/r! |
Ω |
0.72681579895921 |
Real period |
R |
12.554291138048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999614231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064ca1 64032e1 |
Quadratic twists by: -4 8 |