Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200ee |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-2759680000000 = -1 · 216 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,79937] |
[a1,a2,a3,a4,a6] |
j |
-4/2695 |
j-invariant |
L |
2.5684443223097 |
L(r)(E,1)/r! |
Ω |
0.64211095974145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ci1 30800g1 24640bn1 |
Quadratic twists by: -4 8 5 |