Atkin-Lehner |
3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
6489c |
Isogeny class |
Conductor |
6489 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
214872638463 = 310 · 73 · 1032 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16290,804033] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1263:1] |
Generators of the group modulo torsion |
j |
655804561335841/294749847 |
j-invariant |
L |
5.9241799783936 |
L(r)(E,1)/r! |
Ω |
0.98298316814307 |
Real period |
R |
3.0133679651834 |
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 |
103824ch2 2163a2 45423i2 |
Quadratic twists by: -4 -3 -7 |