Atkin-Lehner |
2- 3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302x |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-20983049657856 = -1 · 29 · 38 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4245,193329] |
[a1,a2,a3,a4,a6] |
Generators |
[36:609:1] |
Generators of the group modulo torsion |
j |
8459611163574479/20983049657856 |
j-invariant |
L |
8.7420073037294 |
L(r)(E,1)/r! |
Ω |
0.47594730389108 |
Real period |
R |
0.042517580943211 |
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 |
48906l1 |
Quadratic twists by: -3 |