Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100j |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1285751747868750000 = -1 · 24 · 320 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-815700,288759625] |
[a1,a2,a3,a4,a6] |
j |
-329342336352256/7054879275 |
j-invariant |
L |
3.2625451467818 |
L(r)(E,1)/r! |
Ω |
0.27187876219008 |
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 |
17700k1 10620h1 |
Quadratic twists by: -3 5 |