Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
262656000000 = 215 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1932,-21456] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:105:1] |
Generators of the group modulo torsion |
j |
901428696/296875 |
j-invariant |
L |
8.3139724789029 |
L(r)(E,1)/r! |
Ω |
0.73908030128568 |
Real period |
R |
1.8748464509303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dh2 27360c2 54720ct2 |
Quadratic twists by: -4 8 -3 |