Atkin-Lehner |
2+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89792a |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-735576064 = -1 · 219 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ -2 -1 -3 0 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,1471] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:48:1] [3:-32:1] |
Generators of the group modulo torsion |
j |
-1771561/2806 |
j-invariant |
L |
6.4610468784005 |
L(r)(E,1)/r! |
Ω |
1.4371333112881 |
Real period |
R |
1.1239470318049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792p1 2806a1 |
Quadratic twists by: -4 8 |