Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bf |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-197706096640000 = -1 · 216 · 54 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8788,-597584] |
[a1,a2,a3,a4,a6] |
j |
237276/625 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080cw3 6760g4 320b4 |
Quadratic twists by: -4 8 13 |