Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dk |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-48288960000000 = -1 · 212 · 38 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,358000] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:675:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
4.8064625963047 |
L(r)(E,1)/r! |
Ω |
0.5548386733831 |
Real period |
R |
2.1657027657973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175j1 27600db1 16560cf1 |
Quadratic twists by: -4 -3 5 |