Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880dj |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-188334080000 = -1 · 217 · 54 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -5 11- -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1055,16543] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:80:1] [21:220:1] |
Generators of the group modulo torsion |
j |
989827342/1436875 |
j-invariant |
L |
10.969764376767 |
L(r)(E,1)/r! |
Ω |
0.68399270352473 |
Real period |
R |
0.50118244684428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880be1 16720f1 |
Quadratic twists by: -4 8 |