Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8632a |
Isogeny class |
Conductor |
8632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-14363648 = -1 · 210 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 -1 3 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,-1600] |
[a1,a2,a3,a4,a6] |
j |
-1653974500/14027 |
j-invariant |
L |
2.4040914463066 |
L(r)(E,1)/r! |
Ω |
0.60102286157665 |
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 |
17264a1 69056i1 77688a1 112216c1 |
Quadratic twists by: -4 8 -3 13 |