Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8400000000000000 = -1 · 216 · 3 · 514 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23967,-4163937] |
[a1,a2,a3,a4,a6] |
Generators |
[3243:18352:27] |
Generators of the group modulo torsion |
j |
1486779836/8203125 |
j-invariant |
L |
5.849263425772 |
L(r)(E,1)/r! |
Ω |
0.2074453975401 |
Real period |
R |
7.0491602792019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600x3 8400c4 100800lw3 6720bm4 |
Quadratic twists by: -4 8 -3 5 |