Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bs |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-26342346374249472 = -1 · 210 · 310 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56301,-5876962] |
[a1,a2,a3,a4,a6] |
j |
224727548/299943 |
j-invariant |
L |
0.80173417012048 |
L(r)(E,1)/r! |
Ω |
0.20043355392421 |
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 |
27048e1 11592r1 |
Quadratic twists by: -3 -7 |