Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006z |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
26234208 = 25 · 32 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1883,30665] |
[a1,a2,a3,a4,a6] |
Generators |
[15:70:1] |
Generators of the group modulo torsion |
j |
738395577816625/26234208 |
j-invariant |
L |
5.2477734521124 |
L(r)(E,1)/r! |
Ω |
1.9785379132541 |
Real period |
R |
0.26523492003655 |
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 |
48048ce2 18018m2 42042dj2 66066f2 |
Quadratic twists by: -4 -3 -7 -11 |