Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440df |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
126563860962000 = 24 · 36 · 53 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22368,-1168333] |
[a1,a2,a3,a4,a6] |
j |
106110329552896/10850811125 |
j-invariant |
L |
2.3577630344868 |
L(r)(E,1)/r! |
Ω |
0.39296050602204 |
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 |
13860o1 6160i1 |
Quadratic twists by: -4 -3 |