Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544m |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-473530636656 = -1 · 24 · 33 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,813,31883] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:147:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
4.3214640849078 |
L(r)(E,1)/r! |
Ω |
0.682333003587 |
Real period |
R |
0.22619161350993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088e1 44352l1 5544d1 38808bn1 |
Quadratic twists by: -4 8 -3 -7 |