Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16016l |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-7637330243006464 = -1 · 212 · 73 · 114 · 135 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11- 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254101,-49564989] |
[a1,a2,a3,a4,a6] |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
1.2755270669294 |
L(r)(E,1)/r! |
Ω |
0.10629392224411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1001a1 64064bk1 112112bu1 |
Quadratic twists by: -4 8 -7 |