Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742x |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2055903454726992 = 24 · 36 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182439,-29929095] |
[a1,a2,a3,a4,a6] |
j |
139128722155513/425934288 |
j-invariant |
L |
5.5451243837956 |
L(r)(E,1)/r! |
Ω |
0.23104684928469 |
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 |
4134c2 |
Quadratic twists by: 13 |