Atkin-Lehner |
3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16107h |
Isogeny class |
Conductor |
16107 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
49722309 = 33 · 74 · 13 · 59 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92,-70] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
87056109568/49722309 |
j-invariant |
L |
2.4332165891726 |
L(r)(E,1)/r! |
Ω |
1.6676686193978 |
Real period |
R |
0.12158773436112 |
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 |
48321p1 112749m1 |
Quadratic twists by: -3 -7 |