Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bk |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
134284836864 = 226 · 3 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3009,-62049] |
[a1,a2,a3,a4,a6] |
Generators |
[4762353799:15444971520:70444997] |
Generators of the group modulo torsion |
j |
11497268593/512256 |
j-invariant |
L |
8.5188506786279 |
L(r)(E,1)/r! |
Ω |
0.64636402218254 |
Real period |
R |
13.179648659492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bw1 4002l1 |
Quadratic twists by: -4 8 |