Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009c |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
123447525201 = 36 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5586,161207] |
[a1,a2,a3,a4,a6] |
j |
26444947540257/169338169 |
j-invariant |
L |
2.1020728067255 |
L(r)(E,1)/r! |
Ω |
1.0510364033628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1001b2 63063o2 99099cd2 117117bt2 |
Quadratic twists by: -3 -7 -11 13 |