Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bq |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9057692160000 = 212 · 34 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15760,-742400] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:110:1] |
Generators of the group modulo torsion |
j |
105696342689041/2211350625 |
j-invariant |
L |
5.7238255536728 |
L(r)(E,1)/r! |
Ω |
0.42663918767468 |
Real period |
R |
1.6770100236346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3135e2 |
Quadratic twists by: -4 |