Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232l |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-128814171602688 = -1 · 28 · 36 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1972,545676] |
[a1,a2,a3,a4,a6] |
j |
686000/104247 |
j-invariant |
L |
5.4146514718771 |
L(r)(E,1)/r! |
Ω |
0.45122095547722 |
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 |
44616c1 6864i1 |
Quadratic twists by: -4 13 |