Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dm |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
510603264000000 = 218 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53868,-4687792] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:160:1] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
6.7268185565517 |
L(r)(E,1)/r! |
Ω |
0.31394337134858 |
Real period |
R |
2.6783566601719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bj2 13680bu2 18240cc2 |
Quadratic twists by: -4 8 -3 |