Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664b |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
62738432 = 212 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 0 -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260,1568] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:56:1] |
Generators of the group modulo torsion |
j |
474552000/15317 |
j-invariant |
L |
4.6058621820617 |
L(r)(E,1)/r! |
Ω |
1.9560205608764 |
Real period |
R |
2.354710514924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664a2 28832i1 |
Quadratic twists by: -4 8 |