Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bs |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-68117700280320 = -1 · 218 · 38 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7905,477855] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:864:1] [-22:801:1] |
Generators of the group modulo torsion |
j |
-208422380089/259848405 |
j-invariant |
L |
12.341344317714 |
L(r)(E,1)/r! |
Ω |
0.55844627193509 |
Real period |
R |
1.3812143775382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440g2 21360g2 |
Quadratic twists by: -4 8 |