Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1584p |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-32845824 = -1 · 212 · 36 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1126128,-459970256] |
[a1,a2,a3,a4,a6] |
j |
-52893159101157376/11 |
j-invariant |
L |
1.8319458337094 |
L(r)(E,1)/r! |
Ω |
0.073277833348378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99d3 6336bx3 176b3 39600dy3 |
Quadratic twists by: -4 8 -3 5 |