Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600ca |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-432640000000 = -1 · 215 · 57 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4008,-104012] |
[a1,a2,a3,a4,a6] |
j |
-658489/40 |
j-invariant |
L |
2.391626075364 |
L(r)(E,1)/r! |
Ω |
0.29895326131874 |
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 |
8450f1 13520ba1 67600cb1 |
Quadratic twists by: -4 5 13 |