Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720y |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1347425280 = 210 · 36 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,648] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:44:1] [1:19:1] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
8.8216584585229 |
L(r)(E,1)/r! |
Ω |
1.3446492858718 |
Real period |
R |
3.2802822829761 |
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 |
54720dw1 3420d1 6080g1 |
Quadratic twists by: -4 8 -3 |