Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084l |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-152234930075904 = -1 · 28 · 36 · 138 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,628342] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6084:1] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
4.3103911724467 |
L(r)(E,1)/r! |
Ω |
0.50153415426308 |
Real period |
R |
1.4324020061937 |
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 |
24336bx1 97344cs1 676c1 6084m1 |
Quadratic twists by: -4 8 -3 13 |