Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-1.8418033165824E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3204033,-2300940063] |
[a1,a2,a3,a4,a6] |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
1.8001820262909 |
L(r)(E,1)/r! |
Ω |
0.056255669644183 |
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 |
110400do1 27600t1 22080cp1 |
Quadratic twists by: -4 8 5 |