Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gs |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35389440 |
Modular degree for the optimal curve |
Δ |
1.9485955778292E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495641811,-4241860146286] |
[a1,a2,a3,a4,a6] |
Generators |
[211577173871902345689043090365634189291:-206645862857314506231846630025803886755840:221673884730485764471355105766883] |
Generators of the group modulo torsion |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
7.2691678905276 |
L(r)(E,1)/r! |
Ω |
0.03199965625962 |
Real period |
R |
56.79098432963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994bi1 39984bv1 17136y1 |
Quadratic twists by: -4 -3 -7 |