Atkin-Lehner |
3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8211g |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.7536905306922E+23 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2232551724,-40602442628385] |
[a1,a2,a3,a4,a6] |
Generators |
[9062070:1665847077:125] |
Generators of the group modulo torsion |
j |
1230632274013992693566775611971777/775369053069216177831777 |
j-invariant |
L |
2.7873080593472 |
L(r)(E,1)/r! |
Ω |
0.02196338066426 |
Real period |
R |
5.2877941507028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24633d4 57477d4 |
Quadratic twists by: -3 -7 |