Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bk |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.875507731305E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1123236,-66766505] |
[a1,a2,a3,a4,a6] |
Generators |
[-173914:10308995:2197] |
Generators of the group modulo torsion |
j |
1827347754908593/1034850081573 |
j-invariant |
L |
9.7501788295912 |
L(r)(E,1)/r! |
Ω |
0.15819364243492 |
Real period |
R |
7.70430679771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30723i3 13167j3 |
Quadratic twists by: -3 -7 |