Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ir |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-9.8125184900708E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1639487,-150709883983] |
[a1,a2,a3,a4,a6] |
Generators |
[272725064719559260175709217547490024614878874868263500556400890760678388897037094309338:21210329548573747463538846729822024025311929664211868437912117902332269990674125542024427:33345412213144982049567878456718486103942815407537242769221145858078242274480099096] |
Generators of the group modulo torsion |
j |
48101735/968486568 |
j-invariant |
L |
13.670194107636 |
L(r)(E,1)/r! |
Ω |
0.033489598579779 |
Real period |
R |
136.06407847371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bc2 127050em2 |
Quadratic twists by: 5 -11 |