Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550w |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
591500 = 22 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-748,7812] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-6:1] |
Generators of the group modulo torsion |
j |
370300910741/4732 |
j-invariant |
L |
3.8599792442003 |
L(r)(E,1)/r! |
Ω |
2.6407496040098 |
Real period |
R |
0.73084915706117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400cs2 40950bv2 4550m2 31850cp2 |
Quadratic twists by: -4 -3 5 -7 |