Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710v |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
345338235000 = 23 · 39 · 54 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33563,2374867] |
[a1,a2,a3,a4,a6] |
Generators |
[113:68:1] |
Generators of the group modulo torsion |
j |
212423523093963/17545000 |
j-invariant |
L |
8.4458093116145 |
L(r)(E,1)/r! |
Ω |
0.91557087552964 |
Real period |
R |
1.5374395613609 |
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 |
28710e2 |
Quadratic twists by: -3 |