Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5704a |
Isogeny class |
Conductor |
5704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
520569856 = 210 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259,-1170] |
[a1,a2,a3,a4,a6] |
Generators |
[30541:283200:343] |
Generators of the group modulo torsion |
j |
1876389732/508369 |
j-invariant |
L |
4.5142544966956 |
L(r)(E,1)/r! |
Ω |
1.214236349883 |
Real period |
R |
7.4355449779286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11408a2 45632f2 51336e2 |
Quadratic twists by: -4 8 -3 |