Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170r |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
255706543794240 = 26 · 36 · 5 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44027,-3489891] |
[a1,a2,a3,a4,a6] |
j |
80224711835689/2173469760 |
j-invariant |
L |
1.9807886440615 |
L(r)(E,1)/r! |
Ω |
0.33013144067692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360hp1 48510cy1 80850gr1 2310i1 |
Quadratic twists by: -4 -3 5 -7 |