Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720q |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3015061213593600 = 214 · 318 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47388,-2964112] |
[a1,a2,a3,a4,a6] |
j |
985329269584/252434475 |
j-invariant |
L |
2.6375948550655 |
L(r)(E,1)/r! |
Ω |
0.32969935689024 |
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 |
54720eb2 3420c2 18240n2 |
Quadratic twists by: -4 8 -3 |