Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880n |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
974177280 = 210 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-2198] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] |
Generators of the group modulo torsion |
j |
7086244/1305 |
j-invariant |
L |
4.3893860243314 |
L(r)(E,1)/r! |
Ω |
1.1076579095757 |
Real period |
R |
0.99069080498251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10440f1 83520fn1 6960p1 104400z1 |
Quadratic twists by: -4 8 -3 5 |