Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200cd |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5909015614005E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-885288,139944628] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:14560:1] |
Generators of the group modulo torsion |
j |
149867676441074717/70134796121104 |
j-invariant |
L |
4.0838286254656 |
L(r)(E,1)/r! |
Ω |
0.18411793306702 |
Real period |
R |
2.7725630506786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150m2 57200cg2 |
Quadratic twists by: -4 5 |