Atkin-Lehner |
3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449p |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2776032 |
Modular degree for the optimal curve |
Δ |
-1.6153658732289E+19 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 6 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-406244,-217441934] |
[a1,a2,a3,a4,a6] |
Generators |
[283702948:7806479054:226981] |
Generators of the group modulo torsion |
j |
-459 |
j-invariant |
L |
5.4358309317288 |
L(r)(E,1)/r! |
Ω |
0.088553660807295 |
Real period |
R |
10.230766480328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999697249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449o1 2601f1 127449j1 |
Quadratic twists by: -3 -7 17 |