Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22792g |
Isogeny class |
Conductor |
22792 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1759982194432 = -1 · 28 · 73 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5855,183874] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:518:1] |
Generators of the group modulo torsion |
j |
-86709053394000/6874930447 |
j-invariant |
L |
5.036692568805 |
L(r)(E,1)/r! |
Ω |
0.82135396326278 |
Real period |
R |
0.51101522547772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45584b1 |
Quadratic twists by: -4 |