Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064di |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
84330528192 = 26 · 34 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2764,-55090] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:42:1] [65:210:1] |
Generators of the group modulo torsion |
j |
36501857904448/1317664503 |
j-invariant |
L |
11.929374805687 |
L(r)(E,1)/r! |
Ω |
0.65987983968469 |
Real period |
R |
9.0390508177373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bv1 64032y3 |
Quadratic twists by: -4 8 |