Atkin-Lehner |
2+ 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072i |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
757216512 = 28 · 34 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-228,-180] |
[a1,a2,a3,a4,a6] |
j |
5142706000/2957877 |
j-invariant |
L |
5.3426989471097 |
L(r)(E,1)/r! |
Ω |
1.3356747367771 |
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 |
16536d2 99216m2 |
Quadratic twists by: -4 -3 |