Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190x |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
6579643249511718750 = 2 · 36 · 518 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4761414,3998291598] |
[a1,a2,a3,a4,a6] |
Generators |
[9614:21423:8] |
Generators of the group modulo torsion |
j |
16375858190544687071329/9025573730468750 |
j-invariant |
L |
3.5538809665569 |
L(r)(E,1)/r! |
Ω |
0.23441724309347 |
Real period |
R |
7.5802464862616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520dq6 910j6 40950dl6 57330s6 |
Quadratic twists by: -4 -3 5 -7 |