Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302u |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2403827712 = -1 · 215 · 33 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-253,2801] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:71:1] |
Generators of the group modulo torsion |
j |
-1791399948625/2403827712 |
j-invariant |
L |
8.6964169145352 |
L(r)(E,1)/r! |
Ω |
1.3090854087711 |
Real period |
R |
1.3286248332259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48906r1 |
Quadratic twists by: -3 |