Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154z |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
711359690184 = 23 · 33 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4365,101499] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:366:1] |
Generators of the group modulo torsion |
j |
54424690756969/4209228936 |
j-invariant |
L |
6.7569682567947 |
L(r)(E,1)/r! |
Ω |
0.88365324742525 |
Real period |
R |
0.36412517479931 |
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 |
89232bv1 33462u1 122694q1 11154c1 |
Quadratic twists by: -4 -3 -11 13 |