Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168bi |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-53300404702162944 = -1 · 212 · 310 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 -3 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202656,-36762048] |
[a1,a2,a3,a4,a6] |
j |
-224721335000834209/13012794116739 |
j-invariant |
L |
0.89704257749198 |
L(r)(E,1)/r! |
Ω |
0.11213031857331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073g1 |
Quadratic twists by: -4 |