Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090bb |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-3093914880000 = -1 · 211 · 35 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10280,409152] |
[a1,a2,a3,a4,a6] |
Generators |
[304:-5192:1] |
Generators of the group modulo torsion |
j |
-120144998550165121/3093914880000 |
j-invariant |
L |
6.9716266662004 |
L(r)(E,1)/r! |
Ω |
0.79760412804706 |
Real period |
R |
0.013243500547356 |
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 |
48720bn1 18270t1 30450d1 42630ci1 |
Quadratic twists by: -4 -3 5 -7 |