Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.2641231792886E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236485587,1291015468834] |
[a1,a2,a3,a4,a6] |
Generators |
[-15415:1128492:1] |
Generators of the group modulo torsion |
j |
405929061432816484/35083409765625 |
j-invariant |
L |
8.5976402605637 |
L(r)(E,1)/r! |
Ω |
0.057224132994242 |
Real period |
R |
4.6951564863312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605481 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60840br3 40560o3 9360l3 |
Quadratic twists by: -4 -3 13 |