Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084g |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-68976790272 = -1 · 28 · 313 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,13988] |
[a1,a2,a3,a4,a6] |
Generators |
[64:486:1] |
Generators of the group modulo torsion |
j |
-851968/2187 |
j-invariant |
L |
4.5133044286019 |
L(r)(E,1)/r! |
Ω |
0.96971824160785 |
Real period |
R |
0.38785359112135 |
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 |
24336bp1 97344cb1 2028b1 6084j1 |
Quadratic twists by: -4 8 -3 13 |