Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710d |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-205746241536000 = -1 · 218 · 39 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4305,-682579] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:16699:27] |
Generators of the group modulo torsion |
j |
448224034077/10452992000 |
j-invariant |
L |
4.5165588540998 |
L(r)(E,1)/r! |
Ω |
0.273064367531 |
Real period |
R |
4.1350679465594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28710x1 |
Quadratic twists by: -3 |