Atkin-Lehner |
2+ 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670m |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0483334007097E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157747815,-762243195875] |
[a1,a2,a3,a4,a6] |
Generators |
[-416302328580083:-236322100014674:56578878719] |
Generators of the group modulo torsion |
j |
595506138688043835683664241/280978518615868677600 |
j-invariant |
L |
5.7158412341744 |
L(r)(E,1)/r! |
Ω |
0.042601119795444 |
Real period |
R |
16.77139393779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998879106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890ba2 |
Quadratic twists by: -3 |