Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472v |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-185645793134592 = -1 · 211 · 312 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14037,141370] |
[a1,a2,a3,a4,a6] |
j |
204875077678/124344801 |
j-invariant |
L |
5.5888741474569 |
L(r)(E,1)/r! |
Ω |
0.34930463412897 |
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 |
29736p2 19824l2 |
Quadratic twists by: -4 -3 |