Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710v |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
291339892800 = 26 · 39 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2243,32131] |
[a1,a2,a3,a4,a6] |
Generators |
[5:142:1] |
Generators of the group modulo torsion |
j |
63378025803/14801600 |
j-invariant |
L |
8.4458093116145 |
L(r)(E,1)/r! |
Ω |
0.91557087552964 |
Real period |
R |
0.76871978068043 |
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 |
28710e1 |
Quadratic twists by: -3 |