Atkin-Lehner |
2- 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25944f |
Isogeny class |
Conductor |
25944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-830208 = -1 · 28 · 3 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-75] |
[a1,a2,a3,a4,a6] |
j |
-16000000/3243 |
j-invariant |
L |
1.9654825818561 |
L(r)(E,1)/r! |
Ω |
0.98274129092816 |
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 |
51888i1 77832c1 |
Quadratic twists by: -4 -3 |