Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
89232cu |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-2.6973398989858E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1556208,-2608618284] |
[a1,a2,a3,a4,a6] |
Generators |
[6546:517440:1] |
Generators of the group modulo torsion |
j |
-9595703125/62099136 |
j-invariant |
L |
8.6376027177596 |
L(r)(E,1)/r! |
Ω |
0.060222371479434 |
Real period |
R |
3.9841242173034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154y1 89232cg1 |
Quadratic twists by: -4 13 |