Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gv |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3687936000000 = -1 · 215 · 3 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1567,-88737] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
j-invariant |
L |
3.1208027047018 |
L(r)(E,1)/r! |
Ω |
0.39010033808804 |
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 |
33600er3 16800k4 100800oa3 1344k4 |
Quadratic twists by: -4 8 -3 5 |