Atkin-Lehner |
2- 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
41652g |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1037479902481152 = -1 · 28 · 313 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122160,-16506844] |
[a1,a2,a3,a4,a6] |
j |
-1080297299968000/5559198723 |
j-invariant |
L |
1.5317394269265 |
L(r)(E,1)/r! |
Ω |
0.12764495224246 |
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 |
13884a1 |
Quadratic twists by: -3 |