Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
790272000000 = 214 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182833,-30151537] |
[a1,a2,a3,a4,a6] |
j |
2640279346000/3087 |
j-invariant |
L |
4.1558345177945 |
L(r)(E,1)/r! |
Ω |
0.2308796954333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600fg4 2100c4 100800ej4 1344d4 |
Quadratic twists by: -4 8 -3 5 |