Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bc |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
290830047987600 = 24 · 310 · 52 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65498,6415881] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:2847:1] |
Generators of the group modulo torsion |
j |
42625951280003161/398943824400 |
j-invariant |
L |
8.8390075900043 |
L(r)(E,1)/r! |
Ω |
0.54994912325081 |
Real period |
R |
2.0090512049905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570e2 |
Quadratic twists by: -3 |