Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bz |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1156415616000 = 210 · 312 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3805,-72803] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:120:1] |
Generators of the group modulo torsion |
j |
5951163357184/1129312125 |
j-invariant |
L |
3.9696179897911 |
L(r)(E,1)/r! |
Ω |
0.61585376690975 |
Real period |
R |
2.1485717351972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320bh1 4080l1 48960er1 81600im1 |
Quadratic twists by: -4 8 -3 5 |