Atkin-Lehner |
3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71289c |
Isogeny class |
Conductor |
71289 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-32244643138840641 = -1 · 36 · 897 |
Discriminant |
Eigenvalues |
1 3- 1 4 2 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72774,-11459583] |
[a1,a2,a3,a4,a6] |
j |
-117649/89 |
j-invariant |
L |
5.0658501326878 |
L(r)(E,1)/r! |
Ω |
0.14071805986199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7921b1 801d1 |
Quadratic twists by: -3 89 |