Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064s |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43416258822144 = 214 · 32 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18624,-919296] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:80:1] |
Generators of the group modulo torsion |
j |
174423891623617/10599672564 |
j-invariant |
L |
4.374850706694 |
L(r)(E,1)/r! |
Ω |
0.41023015600049 |
Real period |
R |
2.6660952654886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758h2 114192bp2 |
Quadratic twists by: -4 -3 |