Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bf |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13668896983896 = -1 · 23 · 39 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101481,-12418939] |
[a1,a2,a3,a4,a6] |
Generators |
[168799063:3029209972:300763] |
Generators of the group modulo torsion |
j |
-67645179/8 |
j-invariant |
L |
3.5775455919039 |
L(r)(E,1)/r! |
Ω |
0.13374270182351 |
Real period |
R |
13.374732073089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999571294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fe1 106722k2 882g2 |
Quadratic twists by: -3 -7 -11 |