Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088s |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-30981823488 = -1 · 210 · 36 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,765,2322] |
[a1,a2,a3,a4,a6] |
Generators |
[19:154:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
4.4778357274889 |
L(r)(E,1)/r! |
Ω |
0.72704751676071 |
Real period |
R |
0.51324427728367 |
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 |
5544p1 44352er1 1232e1 77616bk1 |
Quadratic twists by: -4 8 -3 -7 |