Atkin-Lehner |
3- 5- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185i |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
235441475625 = 3 · 54 · 374 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1785,-17400] |
[a1,a2,a3,a4,a6] |
Generators |
[47:32:1] |
Generators of the group modulo torsion |
j |
629004249876241/235441475625 |
j-invariant |
L |
4.6295014097688 |
L(r)(E,1)/r! |
Ω |
0.75780038530983 |
Real period |
R |
1.5272826127806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555m4 |
Quadratic twists by: -3 |