Atkin-Lehner |
3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055g |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
196265025 = 36 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384,2915] |
[a1,a2,a3,a4,a6] |
Generators |
[26:87:1] |
Generators of the group modulo torsion |
j |
8602523649/269225 |
j-invariant |
L |
8.6589544175112 |
L(r)(E,1)/r! |
Ω |
1.7794394155199 |
Real period |
R |
2.4330568217131 |
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 |
4895d1 |
Quadratic twists by: -3 |