Atkin-Lehner |
3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099a |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22891869 = 33 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2283,-41420] |
[a1,a2,a3,a4,a6] |
j |
36627445161/637 |
j-invariant |
L |
1.3813210447254 |
L(r)(E,1)/r! |
Ω |
0.69066049145788 |
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 |
99099b2 99099h2 |
Quadratic twists by: -3 -11 |