Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472r |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
163708812288 = 210 · 38 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-24446] |
[a1,a2,a3,a4,a6] |
j |
976562500/219303 |
j-invariant |
L |
2.9487195780705 |
L(r)(E,1)/r! |
Ω |
0.73717989426684 |
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 |
29736e2 19824h2 |
Quadratic twists by: -4 -3 |