Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560o |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.7340510003958E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26276176,-47824146460] |
[a1,a2,a3,a4,a6] |
j |
405929061432816484/35083409765625 |
j-invariant |
L |
1.6091880613031 |
L(r)(E,1)/r! |
Ω |
0.067049502555303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20280a3 121680bg3 3120j4 |
Quadratic twists by: -4 -3 13 |