Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bo |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
820894711569504000 = 28 · 3 · 53 · 116 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-263020,-28291132] |
[a1,a2,a3,a4,a6] |
Generators |
[976:25410:1] |
Generators of the group modulo torsion |
j |
1628514404944/664335375 |
j-invariant |
L |
11.386557951274 |
L(r)(E,1)/r! |
Ω |
0.21847369162347 |
Real period |
R |
1.9303210576706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
660c4 |
Quadratic twists by: 13 |