Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cq |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.4751043038106E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2285269,75681363825] |
[a1,a2,a3,a4,a6] |
j |
8915971454369279/16719623332762560 |
j-invariant |
L |
6.8936929953538 |
L(r)(E,1)/r! |
Ω |
0.063830488176362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bk3 |
Quadratic twists by: -23 |