Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112t |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1527047909712 = 24 · 32 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123933,16834284] |
[a1,a2,a3,a4,a6] |
j |
2725888000000/19773 |
j-invariant |
L |
1.5179682393031 |
L(r)(E,1)/r! |
Ω |
0.75898411965156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2028d3 32448cy3 24336bh3 624g3 |
Quadratic twists by: -4 8 -3 13 |