Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483s |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
60319784931 = 3 · 72 · 177 |
Discriminant |
Eigenvalues |
1 3- 3 7- -6 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1307,13703] |
[a1,a2,a3,a4,a6] |
Generators |
[497:36861:343] |
Generators of the group modulo torsion |
j |
208537/51 |
j-invariant |
L |
9.7127178333276 |
L(r)(E,1)/r! |
Ω |
1.0415231691764 |
Real period |
R |
4.6627468887689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449bn1 42483a1 2499e1 |
Quadratic twists by: -3 -7 17 |