Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bc |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
57822336 = 27 · 35 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-101,129] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:19:1] |
Generators of the group modulo torsion |
j |
674636521/342144 |
j-invariant |
L |
8.0784892200851 |
L(r)(E,1)/r! |
Ω |
1.7496952115484 |
Real period |
R |
0.13191667679793 |
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 |
89232bk1 33462be1 122694bh1 11154t1 |
Quadratic twists by: -4 -3 -11 13 |