Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960c |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.046358024057E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1768576,1564861424] |
[a1,a2,a3,a4,a6] |
j |
-597441219515783741956/688120900786816875 |
j-invariant |
L |
1.7487759844325 |
L(r)(E,1)/r! |
Ω |
0.14573133203604 |
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 |
31920e3 127680z3 47880bj3 79800bc3 |
Quadratic twists by: -4 8 -3 5 |