Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006f |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
704174238768 = 24 · 3 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12183,-521115] |
[a1,a2,a3,a4,a6] |
j |
200005594092187129/704174238768 |
j-invariant |
L |
1.8180603345679 |
L(r)(E,1)/r! |
Ω |
0.45451508364196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cl2 18018bq2 42042bj2 66066bs2 |
Quadratic twists by: -4 -3 -7 -11 |