Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440z |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
420479631360 = 217 · 34 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,-8159] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:135:1] [-5:36:1] |
Generators of the group modulo torsion |
j |
5984418242/3208005 |
j-invariant |
L |
8.6849883710224 |
L(r)(E,1)/r! |
Ω |
0.7671557233968 |
Real period |
R |
5.6605120097262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440n2 21360d2 |
Quadratic twists by: -4 8 |