Atkin-Lehner |
2- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11594d |
Isogeny class |
Conductor |
11594 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
25947557504 = 27 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 0 1 3 11+ -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-907,7323] |
[a1,a2,a3,a4,a6] |
Generators |
[3:66:1] |
Generators of the group modulo torsion |
j |
82432144309761/25947557504 |
j-invariant |
L |
7.4758840631544 |
L(r)(E,1)/r! |
Ω |
1.1011239386205 |
Real period |
R |
0.32330100791726 |
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 |
92752t1 104346u1 127534e1 |
Quadratic twists by: -4 -3 -11 |