Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727m |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3.2730174844916E+20 |
Discriminant |
Eigenvalues |
-2 3- 4 7- -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-911253,932601136] |
[a1,a2,a3,a4,a6] |
Generators |
[35:30012:1] |
Generators of the group modulo torsion |
j |
-975719213461504/3816212563107 |
j-invariant |
L |
3.5311006882985 |
L(r)(E,1)/r! |
Ω |
0.14963093180045 |
Real period |
R |
2.9498418590747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6909f1 2961h1 |
Quadratic twists by: -3 -7 |