Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727k |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-326511622647 = -1 · 310 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-891,29560] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:202:1] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
6.7669620706933 |
L(r)(E,1)/r! |
Ω |
0.84011964728049 |
Real period |
R |
2.0136899823133 |
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 |
6909d1 423c1 |
Quadratic twists by: -3 -7 |