Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16182l |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-142025019486624 = -1 · 25 · 311 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 0 3 -3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-762701,256568469] |
[a1,a2,a3,a4,a6] |
Generators |
[491:276:1] |
Generators of the group modulo torsion |
j |
-67306746411784284553/194821700256 |
j-invariant |
L |
8.9071736121493 |
L(r)(E,1)/r! |
Ω |
0.5055037607209 |
Real period |
R |
0.88101951995834 |
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 |
129456bn1 5394b1 |
Quadratic twists by: -4 -3 |