Atkin-Lehner |
2+ 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8866a |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-365820026 = -1 · 2 · 114 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 11+ 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5,-920] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1799:1] |
Generators of the group modulo torsion |
j |
18191447/365820026 |
j-invariant |
L |
2.9724919551784 |
L(r)(E,1)/r! |
Ω |
0.78334619932253 |
Real period |
R |
0.9486520639754 |
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 |
70928m1 79794z1 97526y1 115258t1 |
Quadratic twists by: -4 -3 -11 13 |