Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28864x |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-461824 = -1 · 210 · 11 · 41 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 11- -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] [-1:8:1] |
Generators of the group modulo torsion |
j |
-1048576/451 |
j-invariant |
L |
5.1012977520629 |
L(r)(E,1)/r! |
Ω |
2.7732542043297 |
Real period |
R |
0.91973136542959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864d1 7216f1 |
Quadratic twists by: -4 8 |