Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440g |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-24644632320 = -1 · 28 · 36 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,8262] |
[a1,a2,a3,a4,a6] |
Generators |
[9:72:1] [37:208:1] |
Generators of the group modulo torsion |
j |
-44851536/132055 |
j-invariant |
L |
9.1629416395976 |
L(r)(E,1)/r! |
Ω |
1.0522813288122 |
Real period |
R |
4.3538459671897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720j1 6160d1 |
Quadratic twists by: -4 -3 |