Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006ba |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
43838226432 = 214 · 35 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-930,-4284] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:78:1] |
Generators of the group modulo torsion |
j |
88961427666721/43838226432 |
j-invariant |
L |
5.3805414377366 |
L(r)(E,1)/r! |
Ω |
0.90915650384105 |
Real period |
R |
0.1690905303041 |
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 |
48048bv1 18018i1 42042cg1 66066bj1 |
Quadratic twists by: -4 -3 -7 -11 |