Atkin-Lehner |
3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16107g |
Isogeny class |
Conductor |
16107 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-28450321394859 = -1 · 312 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 4 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10946,-513718] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3451:1] |
Generators of the group modulo torsion |
j |
-145054003223425024/28450321394859 |
j-invariant |
L |
2.5850429977993 |
L(r)(E,1)/r! |
Ω |
0.23092916858887 |
Real period |
R |
0.15547353843964 |
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 |
48321n1 112749g1 |
Quadratic twists by: -3 -7 |