Atkin-Lehner |
3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055g |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39699061875 = -1 · 36 · 54 · 11 · 892 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111,9548] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:94:1] |
Generators of the group modulo torsion |
j |
206425071/54456875 |
j-invariant |
L |
8.6589544175112 |
L(r)(E,1)/r! |
Ω |
0.88971970775995 |
Real period |
R |
1.2165284108566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895d2 |
Quadratic twists by: -3 |