Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dh |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
11904000000000 = 216 · 3 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97408,-11732812] |
[a1,a2,a3,a4,a6] |
j |
1597099875769/186000 |
j-invariant |
L |
4.3238791196596 |
L(r)(E,1)/r! |
Ω |
0.27024244497878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650z1 111600fm1 7440k1 |
Quadratic twists by: -4 -3 5 |