Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118s |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-744082280206848 = -1 · 29 · 310 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16204,-1049065] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1717:1] |
Generators of the group modulo torsion |
j |
645487763368967/1020688998912 |
j-invariant |
L |
6.0903349276739 |
L(r)(E,1)/r! |
Ω |
0.26714000242617 |
Real period |
R |
0.31664290012111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944bh2 2706e2 89298w2 |
Quadratic twists by: -4 -3 -11 |