Atkin-Lehner |
2+ 3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16074d |
Isogeny class |
Conductor |
16074 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
636000 |
Modular degree for the optimal curve |
Δ |
-1026660224729088 = -1 · 225 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 4 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4956444,4248446544] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:12887:1] |
Generators of the group modulo torsion |
j |
-18471699048587981865409/1408313065472 |
j-invariant |
L |
3.1819642365839 |
L(r)(E,1)/r! |
Ω |
0.3751709795594 |
Real period |
R |
4.2406854606942 |
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 |
128592k1 1786d1 |
Quadratic twists by: -4 -3 |