Atkin-Lehner |
2- 3+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422p |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-501255143424 = -1 · 215 · 35 · 7 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-319,-34267] |
[a1,a2,a3,a4,a6] |
Generators |
[43:162:1] |
Generators of the group modulo torsion |
j |
-3590714269297/501255143424 |
j-invariant |
L |
7.4092084089751 |
L(r)(E,1)/r! |
Ω |
0.4132779317344 |
Real period |
R |
0.59759690674998 |
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 |
49266n1 114954ch1 |
Quadratic twists by: -3 -7 |