Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099d |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-206948808948308427 = -1 · 39 · 73 · 119 · 13 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,32670,-21768838] |
[a1,a2,a3,a4,a6] |
j |
110592000/5934929 |
j-invariant |
L |
1.2116093084838 |
L(r)(E,1)/r! |
Ω |
0.15145114496351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099c1 9009a2 |
Quadratic twists by: -3 -11 |