Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28116g |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
158725391616 = 28 · 38 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2568,46276] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:198:1] [-19:297:1] |
Generators of the group modulo torsion |
j |
10035552256/850509 |
j-invariant |
L |
7.335953343205 |
L(r)(E,1)/r! |
Ω |
0.99899587015826 |
Real period |
R |
0.20398130547166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bb1 9372f1 |
Quadratic twists by: -4 -3 |