Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dz |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
15360000 |
Modular degree for the optimal curve |
Δ |
-7.7307248856088E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4015335,13015216359] |
[a1,a2,a3,a4,a6] |
Generators |
[2577:-201204:1] |
Generators of the group modulo torsion |
j |
1747950014609970208064/18873840052755741663 |
j-invariant |
L |
4.8937004033422 |
L(r)(E,1)/r! |
Ω |
0.080035348469007 |
Real period |
R |
0.30572119372946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998946454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064ck1 64032g1 |
Quadratic twists by: -4 8 |