Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126324k |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-8063388747760896 = -1 · 28 · 36 · 116 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38841,-3159794] |
[a1,a2,a3,a4,a6] |
j |
19600688/24389 |
j-invariant |
L |
1.9998775972634 |
L(r)(E,1)/r! |
Ω |
0.22220878354655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036d2 1044j2 |
Quadratic twists by: -3 -11 |