Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006t |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4036032 = -1 · 26 · 32 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53,155] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-16484028625/4036032 |
j-invariant |
L |
5.1424104430551 |
L(r)(E,1)/r! |
Ω |
2.3556859907876 |
Real period |
R |
0.36382964899719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cg1 18018n1 42042de1 66066j1 |
Quadratic twists by: -4 -3 -7 -11 |