Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cl |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-829870272 = -1 · 26 · 37 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10467,414805] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:923:1] [62:5:1] |
Generators of the group modulo torsion |
j |
-29343015625/192 |
j-invariant |
L |
8.8045178619228 |
L(r)(E,1)/r! |
Ω |
1.4156445984029 |
Real period |
R |
0.77743010795828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bv2 106722bn2 106722gf2 |
Quadratic twists by: -3 -7 -11 |