Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9996j |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
282127104 = 28 · 33 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,804] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:42:1] |
Generators of the group modulo torsion |
j |
1722448/459 |
j-invariant |
L |
4.1888871924206 |
L(r)(E,1)/r! |
Ω |
1.6211915709281 |
Real period |
R |
0.8612774429906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39984bh1 29988w1 9996h1 |
Quadratic twists by: -4 -3 -7 |