Atkin-Lehner |
3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449n |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1902096 |
Modular degree for the optimal curve |
Δ |
-5.3202928142972E+19 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-350934362] |
[a1,a2,a3,a4,a6] |
Generators |
[134955929411512:-790229093001233:188231032891] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.3664742903117 |
L(r)(E,1)/r! |
Ω |
0.091445161655027 |
Real period |
R |
23.874824054574 |
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 |
127449n2 127449e1 127449g1 |
Quadratic twists by: -3 -7 17 |