Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bw |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
1.782944302403E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270678230,-1714038063672] |
[a1,a2,a3,a4,a6] |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
2.0843773633244 |
L(r)(E,1)/r! |
Ω |
0.037221026057469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bh1 6240l1 |
Quadratic twists by: -4 13 |