Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-3703553280000000 = -1 · 214 · 310 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54033,-5669937] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/14467005 |
j-invariant |
L |
3.0961664026343 |
L(r)(E,1)/r! |
Ω |
0.15480832013234 |
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 |
33600f2 8400bn2 100800nf2 6720bf2 |
Quadratic twists by: -4 8 -3 5 |