Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200i |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
212064000000 = 211 · 3 · 56 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2808,51888] |
[a1,a2,a3,a4,a6] |
j |
76545506/6627 |
j-invariant |
L |
1.9492452020094 |
L(r)(E,1)/r! |
Ω |
0.97462260100508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400d2 84600br2 1128c2 |
Quadratic twists by: -4 -3 5 |