Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846u |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4019672127744 = 28 · 38 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13158,576180] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1041:1] [-370:8515:8] |
Generators of the group modulo torsion |
j |
345608484635233/5513953536 |
j-invariant |
L |
5.6646496136894 |
L(r)(E,1)/r! |
Ω |
0.78354741357014 |
Real period |
R |
1.8073729539479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282x2 |
Quadratic twists by: -3 |