Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dj |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-1.036148391936E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7273355,-8997530853] |
[a1,a2,a3,a4,a6] |
Generators |
[3929:149910:1] |
Generators of the group modulo torsion |
j |
-3735772816268612449/909650165760000 |
j-invariant |
L |
8.6764109316412 |
L(r)(E,1)/r! |
Ω |
0.045382694446838 |
Real period |
R |
1.9914921676601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850b1 10710l1 |
Quadratic twists by: -3 5 |