Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dm |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8343426170880 = 218 · 32 · 5 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16481,796959] |
[a1,a2,a3,a4,a6] |
Generators |
[85:132:1] |
Generators of the group modulo torsion |
j |
1888690601881/31827645 |
j-invariant |
L |
4.2961565733174 |
L(r)(E,1)/r! |
Ω |
0.73697698065568 |
Real period |
R |
2.9147155786977 |
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 |
27840g4 6960bf3 83520gp4 |
Quadratic twists by: -4 8 -3 |