Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550m |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.4900149900025E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-733126,27074648] |
[a1,a2,a3,a4,a6] |
j |
2788936974993502801/1593609593601600 |
j-invariant |
L |
2.1844977383896 |
L(r)(E,1)/r! |
Ω |
0.18204147819913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44400x3 16650bu4 1110k3 |
Quadratic twists by: -4 -3 5 |