Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eq |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
93392741007360000 = 219 · 37 · 54 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126732,9239056] |
[a1,a2,a3,a4,a6] |
j |
1177918188481/488703750 |
j-invariant |
L |
2.4503040251775 |
L(r)(E,1)/r! |
Ω |
0.30628800323698 |
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 |
54720co3 13680bh3 18240cm4 |
Quadratic twists by: -4 8 -3 |