Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dt |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-645295030272 = -1 · 214 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1477,-44893] |
[a1,a2,a3,a4,a6] |
Generators |
[442:1701:8] |
Generators of the group modulo torsion |
j |
-21764027392/39385683 |
j-invariant |
L |
11.063598533348 |
L(r)(E,1)/r! |
Ω |
0.36312635403616 |
Real period |
R |
3.046762761733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064k1 32016d1 |
Quadratic twists by: -4 8 |