Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422f |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3989921958 = 2 · 32 · 11 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1150,14594] |
[a1,a2,a3,a4,a6] |
Generators |
[28:53:1] |
Generators of the group modulo torsion |
j |
167986449830233/3989921958 |
j-invariant |
L |
3.7030027226712 |
L(r)(E,1)/r! |
Ω |
1.3891495369285 |
Real period |
R |
2.665661704685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35376o4 13266o3 110550bn4 48642x4 |
Quadratic twists by: -4 -3 5 -11 |