Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440i |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.0760697942959E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288149403,-1882672090598] |
[a1,a2,a3,a4,a6] |
j |
3544454449806874081077604/144149438750625 |
j-invariant |
L |
2.6383209195342 |
L(r)(E,1)/r! |
Ω |
0.036643346112336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720l4 18480bc4 |
Quadratic twists by: -4 -3 |