Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064du |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-309203868672 = -1 · 210 · 39 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 3 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33657,-2388033] |
[a1,a2,a3,a4,a6] |
Generators |
[642:15525:1] |
Generators of the group modulo torsion |
j |
-4117777414120192/301956903 |
j-invariant |
L |
9.0497648719502 |
L(r)(E,1)/r! |
Ω |
0.17623725602114 |
Real period |
R |
2.8527720308004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064l1 32016r1 |
Quadratic twists by: -4 8 |