Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bh |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[97809896898563366868:21102874589095935309660:1910917122232357] |
Generators of the group modulo torsion |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
6.3988835461684 |
L(r)(E,1)/r! |
Ω |
0.096708684298654 |
Real period |
R |
33.083293361096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999582 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bw1 6240d1 |
Quadratic twists by: -4 13 |