Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720y |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5673369600 = 214 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3708,86832] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-72:1] [-54:360:1] |
Generators of the group modulo torsion |
j |
472058064/475 |
j-invariant |
L |
8.8216584585229 |
L(r)(E,1)/r! |
Ω |
1.3446492858718 |
Real period |
R |
0.82007057074402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dw2 3420d2 6080g2 |
Quadratic twists by: -4 8 -3 |