Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472t |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-693811820104704 = -1 · 210 · 314 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,-1267310] |
[a1,a2,a3,a4,a6] |
j |
-28756228/929424699 |
j-invariant |
L |
3.7164807591753 |
L(r)(E,1)/r! |
Ω |
0.23228004758803 |
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 |
29736n3 19824k4 |
Quadratic twists by: -4 -3 |