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 |
-1.6960669605477E+27 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20795726,-1981096088107] |
[a1,a2,a3,a4,a6] |
Generators |
[63764:16049183:1] |
Generators of the group modulo torsion |
j |
994594310849829541761683423/1696066960547684435293323153 |
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 |
24633d3 57477d3 |
Quadratic twists by: -3 -7 |