Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960f |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-3.5057495898183E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80479896,942703889904] |
[a1,a2,a3,a4,a6] |
Generators |
[13755:1561518:1] |
Generators of the group modulo torsion |
j |
-28148547180859576249279538/171179179190345072522475 |
j-invariant |
L |
5.3832226652447 |
L(r)(E,1)/r! |
Ω |
0.046503502733388 |
Real period |
R |
1.6077709649182 |
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 |
31920c3 127680bp3 47880bn3 79800x3 |
Quadratic twists by: -4 8 -3 5 |