Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779l |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
689920 |
Modular degree for the optimal curve |
Δ |
-5.3036091312595E+21 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3064249,-2830704163] |
[a1,a2,a3,a4,a6] |
Generators |
[57417:13735783:1] |
Generators of the group modulo torsion |
j |
3181969957761250582484375/5303609131259500019847 |
j-invariant |
L |
7.4885539720022 |
L(r)(E,1)/r! |
Ω |
0.071517771989423 |
Real period |
R |
1.4958427741988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337r1 117453m1 |
Quadratic twists by: -3 -7 |