Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bi |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
82022400 = 212 · 32 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1081,13319] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:120:1] |
Generators of the group modulo torsion |
j |
34138350784/20025 |
j-invariant |
L |
7.127016311653 |
L(r)(E,1)/r! |
Ω |
1.9013059261615 |
Real period |
R |
0.937121192737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440y1 42720h1 |
Quadratic twists by: -4 8 |