Atkin-Lehner |
2- 3- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bn |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1487226064896 = -1 · 212 · 310 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11039,452999] |
[a1,a2,a3,a4,a6] |
Generators |
[3:646:1] [57:-110:1] |
Generators of the group modulo torsion |
j |
-204055591784617/2040090624 |
j-invariant |
L |
14.416050515536 |
L(r)(E,1)/r! |
Ω |
0.8535018448333 |
Real period |
R |
0.3518848700975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894s1 |
Quadratic twists by: -3 |