Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eo |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45954293760000 = 216 · 310 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,812176] |
[a1,a2,a3,a4,a6] |
Generators |
[122:720:1] [-148:360:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
9.5431397415298 |
L(r)(E,1)/r! |
Ω |
0.62375490670763 |
Real period |
R |
0.9562189049444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cj4 13680q3 18240cl3 |
Quadratic twists by: -4 8 -3 |