Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dj |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9097920000000 = -1 · 212 · 37 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-146000] |
[a1,a2,a3,a4,a6] |
Generators |
[65:225:1] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
4.229416121492 |
L(r)(E,1)/r! |
Ω |
0.32008341788083 |
Real period |
R |
1.6516851097321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2925h1 15600cf1 9360bp1 |
Quadratic twists by: -4 -3 5 |