Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008x |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5657852253950181376 = -1 · 219 · 7 · 13 · 179 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52417,-114517311] |
[a1,a2,a3,a4,a6] |
j |
-60758712037297/21582993522454 |
j-invariant |
L |
1.9387458686583 |
L(r)(E,1)/r! |
Ω |
0.10770810655596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bt3 3094h3 |
Quadratic twists by: -4 8 |