Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722j |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.579296660003E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37789593,-107928851563] |
[a1,a2,a3,a4,a6] |
j |
-71285434106859/18863581528 |
j-invariant |
L |
3.0030387422454 |
L(r)(E,1)/r! |
Ω |
0.030030388920695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ei1 106722be2 9702bc2 |
Quadratic twists by: -3 -7 -11 |