Atkin-Lehner |
2- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43160i |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2.2884509646934E+23 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-386760000,-2927552808148] |
[a1,a2,a3,a4,a6] |
Generators |
[309043444453024944530332845224552400506641580731714157971456756519281:-242388336875432840201424535253072580693082461746391443467901714072584420:501863756285645687063485831290328818905720392674935281557917757] |
Generators of the group modulo torsion |
j |
-3124053161785402077361680002/111740769760419921875 |
j-invariant |
L |
9.327826012592 |
L(r)(E,1)/r! |
Ω |
0.017021908004423 |
Real period |
R |
109.59789008574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86320i2 |
Quadratic twists by: -4 |