Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611a |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.642931659738E+19 |
Discriminant |
Eigenvalues |
1 3+ 4 2 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-386225145,-2921423859682] |
[a1,a2,a3,a4,a6] |
Generators |
[24583735795827194398267927218386065726610279290357751250066276700605610181284551317745932:-8723467102389522149823250126288198226352699816105617833763693885966147276662315810916161741:190958036498395118147321900816006010010075049381391393637083985713532323518674048448] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
9.2321391549045 |
L(r)(E,1)/r! |
Ω |
0.034055669210145 |
Real period |
R |
135.54482071599 |
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 |
28611f2 1683c2 |
Quadratic twists by: -3 17 |