Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710n |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1351999190025000000 = 26 · 312 · 58 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279954,-10926572] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:6854:1] |
Generators of the group modulo torsion |
j |
3328565348561863969/1854594225000000 |
j-invariant |
L |
3.9661158280854 |
L(r)(E,1)/r! |
Ω |
0.22270337617005 |
Real period |
R |
1.1130600870014 |
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 |
9570r2 |
Quadratic twists by: -3 |