Atkin-Lehner |
7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55811c |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
127139555768057 = 78 · 173 · 672 |
Discriminant |
Eigenvalues |
-1 0 -4 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-246847,47263710] |
[a1,a2,a3,a4,a6] |
j |
14138957306238129/1080668393 |
j-invariant |
L |
0.55861065692749 |
L(r)(E,1)/r! |
Ω |
0.55861065347563 |
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 |
7973e1 |
Quadratic twists by: -7 |