Atkin-Lehner |
3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8211a |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-24050405565669 = -1 · 3 · 73 · 174 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2303,-231124] |
[a1,a2,a3,a4,a6] |
Generators |
[82760:1031999:512] |
Generators of the group modulo torsion |
j |
1350808360273007/24050405565669 |
j-invariant |
L |
2.1806038993873 |
L(r)(E,1)/r! |
Ω |
0.32824320969767 |
Real period |
R |
6.6432566918771 |
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 |
24633i3 57477p3 |
Quadratic twists by: -3 -7 |