Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064do |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-4399764915290112 = -1 · 216 · 38 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,-3210241] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2208:1] |
Generators of the group modulo torsion |
j |
-1163101562500/67135084767 |
j-invariant |
L |
9.0690931832344 |
L(r)(E,1)/r! |
Ω |
0.1917856337596 |
Real period |
R |
0.98515952387123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998770738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064i1 32016c1 |
Quadratic twists by: -4 8 |