Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271g |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2293400253407038347 = 3 · 116 · 138 · 232 |
Discriminant |
Eigenvalues |
1 3+ -2 2 11- 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1403886,-636670419] |
[a1,a2,a3,a4,a6] |
j |
63395672188101553/475137974883 |
j-invariant |
L |
1.6651127643988 |
L(r)(E,1)/r! |
Ω |
0.13875951840607 |
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 |
9867e2 |
Quadratic twists by: 13 |