Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cs |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
70689235132964448 = 25 · 34 · 72 · 117 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200318,32033508] |
[a1,a2,a3,a4,a6] |
Generators |
[142:2470:1] |
Generators of the group modulo torsion |
j |
501796540869625/39902230368 |
j-invariant |
L |
12.639297178988 |
L(r)(E,1)/r! |
Ω |
0.33848839972637 |
Real period |
R |
0.46675518233471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006k2 |
Quadratic twists by: -11 |