Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280p |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
533110118400 = 211 · 39 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,17766] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:46:1] |
Generators of the group modulo torsion |
j |
28697814/13225 |
j-invariant |
L |
4.5231165776924 |
L(r)(E,1)/r! |
Ω |
0.82845558675986 |
Real period |
R |
2.729848557955 |
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 |
16560f2 66240a2 8280b2 41400c2 |
Quadratic twists by: -4 8 -3 5 |