Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440q |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12816000000000000 = -1 · 216 · 32 · 512 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47519,3726719] |
[a1,a2,a3,a4,a6] |
Generators |
[1450:55887:1] |
Generators of the group modulo torsion |
j |
181065838488476/195556640625 |
j-invariant |
L |
7.7986410490339 |
L(r)(E,1)/r! |
Ω |
0.2648017067072 |
Real period |
R |
7.3627178928636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bb3 10680a4 |
Quadratic twists by: -4 8 |