Atkin-Lehner |
2+ 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110i |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8816284039062500 = 22 · 59 · 72 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64006099,197091726522] |
[a1,a2,a3,a4,a6] |
j |
16369358802802724130049/4976562500 |
j-invariant |
L |
0.48968230807818 |
L(r)(E,1)/r! |
Ω |
0.24484082515985 |
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 |
910j5 |
Quadratic twists by: -11 |