Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dr |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-460510396416 = -1 · 216 · 310 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-32240] |
[a1,a2,a3,a4,a6] |
Generators |
[42:256:1] |
Generators of the group modulo torsion |
j |
415292/9639 |
j-invariant |
L |
4.4467638411446 |
L(r)(E,1)/r! |
Ω |
0.45409208923856 |
Real period |
R |
2.4481619184263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cd1 17136e1 22848cp1 |
Quadratic twists by: -4 8 -3 |