Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449be |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
8.2383659534676E+20 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2933982,1355232703] |
[a1,a2,a3,a4,a6] |
Generators |
[250694051470526158:-11774792727672390107:83849383325609] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
7.8000043862462 |
L(r)(E,1)/r! |
Ω |
0.1473934722193 |
Real period |
R |
26.459802583065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483l1 2601h1 127449bf1 |
Quadratic twists by: -3 -7 17 |