Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bj |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2441681628890625 = -1 · 36 · 56 · 118 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-817317,-284208534] |
[a1,a2,a3,a4,a6] |
Generators |
[1905711690:-755151509328:12167] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
6.6403265188877 |
L(r)(E,1)/r! |
Ω |
0.079390922315935 |
Real period |
R |
13.940146482706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025e2 1089h2 27225bm1 |
Quadratic twists by: -3 5 -11 |