Atkin-Lehner |
5- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16555d |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24915275 = 52 · 72 · 11 · 432 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90,217] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] [-3:23:1] |
Generators of the group modulo torsion |
j |
80677568161/24915275 |
j-invariant |
L |
3.3842903990286 |
L(r)(E,1)/r! |
Ω |
1.9671708345726 |
Real period |
R |
0.86019229737172 |
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 |
82775i2 115885b2 |
Quadratic twists by: 5 -7 |