Atkin-Lehner |
5- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16555d |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
182105 = 5 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [21:82:1] |
Generators of the group modulo torsion |
j |
4750104241/182105 |
j-invariant |
L |
3.3842903990286 |
L(r)(E,1)/r! |
Ω |
1.9671708345726 |
Real period |
R |
3.4407691894869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775i1 115885b1 |
Quadratic twists by: 5 -7 |