Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bu |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.7194229141769E+20 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7705242,8196025041] |
[a1,a2,a3,a4,a6] |
Generators |
[2264064:2847093:1331] |
Generators of the group modulo torsion |
j |
15069223/81 |
j-invariant |
L |
4.9299239475731 |
L(r)(E,1)/r! |
Ω |
0.17499023825587 |
Real period |
R |
7.0431413727841 |
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 |
9075s2 27225bx2 27225by2 |
Quadratic twists by: -3 5 -11 |