Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048w |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1710540210569216 = -1 · 221 · 13 · 894 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 2 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28543,726911] |
[a1,a2,a3,a4,a6] |
Generators |
[-6201:506944:729] |
Generators of the group modulo torsion |
j |
9809964306143/6525193064 |
j-invariant |
L |
5.9259874393374 |
L(r)(E,1)/r! |
Ω |
0.2963683861727 |
Real period |
R |
2.4994178337238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048f1 18512d1 |
Quadratic twists by: -4 8 |