Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240bm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-200544179650560 = -1 · 216 · 37 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5172,-666128] |
[a1,a2,a3,a4,a6] |
j |
320251964/4197615 |
j-invariant |
L |
2.2148394129978 |
L(r)(E,1)/r! |
Ω |
0.27685492631198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ff3 8280v4 22080br3 |
Quadratic twists by: -4 8 -3 |