Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006p |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
318878437878 = 2 · 36 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2626,43862] |
[a1,a2,a3,a4,a6] |
j |
2001566936265625/318878437878 |
j-invariant |
L |
1.8479472707981 |
L(r)(E,1)/r! |
Ω |
0.92397363539906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48048bl2 18018br2 42042j2 66066cj2 |
Quadratic twists by: -4 -3 -7 -11 |