Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552f |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
568596905839872 = 28 · 320 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24015,857698] |
[a1,a2,a3,a4,a6] |
j |
8207369602000/3046751253 |
j-invariant |
L |
1.8923859493876 |
L(r)(E,1)/r! |
Ω |
0.4730964873469 |
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 |
13104y2 52416bu2 2184k2 45864q2 |
Quadratic twists by: -4 8 -3 -7 |