Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560bg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2640172308480 = 211 · 32 · 5 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-658656,-205967916] |
[a1,a2,a3,a4,a6] |
j |
15430158112257556418/1289146635 |
j-invariant |
L |
2.6813581175274 |
L(r)(E,1)/r! |
Ω |
0.16758488234554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bf4 114240gw4 85680bu4 |
Quadratic twists by: -4 8 -3 |