Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696hb |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.7966253996326E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34744908,80254295440] |
[a1,a2,a3,a4,a6] |
j |
-27403349188178/578739249 |
j-invariant |
L |
1.705006127378 |
L(r)(E,1)/r! |
Ω |
0.10656288314169 |
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 |
69696do2 17424z2 23232dx2 6336cn2 |
Quadratic twists by: -4 8 -3 -11 |