Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440c |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4204796313600 = 218 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9601,-345215] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:117:1] [-49:72:1] |
Generators of the group modulo torsion |
j |
373403541601/16040025 |
j-invariant |
L |
8.9279244354011 |
L(r)(E,1)/r! |
Ω |
0.48357935572663 |
Real period |
R |
9.2310851671127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998443 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85440bk2 1335b2 |
Quadratic twists by: -4 8 |