Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bf |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1581648773120 = 216 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72332,-7487376] |
[a1,a2,a3,a4,a6] |
j |
132304644/5 |
j-invariant |
L |
4.6578757933118 |
L(r)(E,1)/r! |
Ω |
0.29111723723851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080cw4 6760g3 320b3 |
Quadratic twists by: -4 8 13 |