Atkin-Lehner |
3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16107c |
Isogeny class |
Conductor |
16107 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-22750845786123 = -1 · 3 · 75 · 133 · 593 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2541,224340] |
[a1,a2,a3,a4,a6] |
j |
1814374882538063/22750845786123 |
j-invariant |
L |
0.50028568150534 |
L(r)(E,1)/r! |
Ω |
0.50028568150534 |
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 |
48321f1 112749l1 |
Quadratic twists by: -3 -7 |