Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014ba |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2361254789376 = 28 · 34 · 7 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4757,101985] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:445:1] |
Generators of the group modulo torsion |
j |
11904985543468753/2361254789376 |
j-invariant |
L |
11.710841202196 |
L(r)(E,1)/r! |
Ω |
0.77498830241304 |
Real period |
R |
0.47221846630348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84042x1 |
Quadratic twists by: -3 |