Atkin-Lehner |
2- 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666h |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-5396413472064 = -1 · 26 · 314 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35726,-2592547] |
[a1,a2,a3,a4,a6] |
j |
-6917321625184153/7402487616 |
j-invariant |
L |
4.1668492200831 |
L(r)(E,1)/r! |
Ω |
0.17361871750346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6222c1 |
Quadratic twists by: -3 |