Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bf |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-117999016869888 = -1 · 218 · 312 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11085,267122] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:506:1] |
Generators of the group modulo torsion |
j |
50447927375/39517632 |
j-invariant |
L |
4.3851653025404 |
L(r)(E,1)/r! |
Ω |
0.37920456249814 |
Real period |
R |
2.8910288378729 |
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 |
1386d1 44352ds1 3696n1 77616eu1 |
Quadratic twists by: -4 8 -3 -7 |