Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dm |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
907463142432 = 25 · 314 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4923,-123579] |
[a1,a2,a3,a4,a6] |
j |
3053190217/209952 |
j-invariant |
L |
1.1448357864998 |
L(r)(E,1)/r! |
Ω |
0.57241808111086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574dc1 106722bt1 106722hg1 |
Quadratic twists by: -3 -7 -11 |