Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cy |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-854794023318061056 = -1 · 226 · 33 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -3 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84865,45460607] |
[a1,a2,a3,a4,a6] |
Generators |
[1537:59568:1] |
Generators of the group modulo torsion |
j |
-257854523348449/3260780423424 |
j-invariant |
L |
9.6997920402776 |
L(r)(E,1)/r! |
Ω |
0.23876363249006 |
Real period |
R |
6.7708469874333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999069608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064o1 32016o1 |
Quadratic twists by: -4 8 |