Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550ba |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3700814062500 = 22 · 38 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42755,-3390753] |
[a1,a2,a3,a4,a6] |
Generators |
[263:1740:1] |
Generators of the group modulo torsion |
j |
758800078561/324900 |
j-invariant |
L |
5.9770970978588 |
L(r)(E,1)/r! |
Ω |
0.33202040948604 |
Real period |
R |
4.5005494595281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400fs2 2850b2 1710d2 |
Quadratic twists by: -4 -3 5 |