Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960f |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16630681600 = 212 · 52 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1108,-12768] |
[a1,a2,a3,a4,a6] |
j |
36726796224/4060225 |
j-invariant |
L |
1.6668686845305 |
L(r)(E,1)/r! |
Ω |
0.83343400255179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128960j2 64480e1 |
Quadratic twists by: -4 8 |