Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696hc |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.5806034221984E+26 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700794732,7166168207440] |
[a1,a2,a3,a4,a6] |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
0.46296168544935 |
L(r)(E,1)/r! |
Ω |
0.057870209276074 |
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 |
69696dq4 17424cf4 23232du4 6336cd4 |
Quadratic twists by: -4 8 -3 -11 |