Atkin-Lehner |
3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16107d |
Isogeny class |
Conductor |
16107 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
108576 |
Modular degree for the optimal curve |
Δ |
-35249948208230301 = -1 · 313 · 72 · 133 · 593 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 1 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-110975,16845198] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-1973:1] |
Generators of the group modulo torsion |
j |
-151146960389242700401/35249948208230301 |
j-invariant |
L |
3.6749329729983 |
L(r)(E,1)/r! |
Ω |
0.3501895128951 |
Real period |
R |
0.13454008061333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48321e1 112749j1 |
Quadratic twists by: -3 -7 |