Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bb |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-304786440684 = -1 · 22 · 36 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,26032] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
2.8955786489373 |
L(r)(E,1)/r! |
Ω |
0.72389448506799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278f1 1062l1 |
Quadratic twists by: -3 -11 |