Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
5329981440 = 212 · 37 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,-152822] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:4:1] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
5.5262706653622 |
L(r)(E,1)/r! |
Ω |
0.55686353055912 |
Real period |
R |
2.480980690388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355h1 28560dx1 |
Quadratic twists by: -4 -3 |