Atkin-Lehner |
2- 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28116f |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
145753344 = 28 · 36 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,324] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-18:1] [-3:27:1] |
Generators of the group modulo torsion |
j |
1769472/781 |
j-invariant |
L |
6.7306798375343 |
L(r)(E,1)/r! |
Ω |
1.6493502060285 |
Real period |
R |
0.34006724855106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bi1 3124a1 |
Quadratic twists by: -4 -3 |