Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880a |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
712157184000 = 214 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8401,296401] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:729:1] |
Generators of the group modulo torsion |
j |
4002657422416/43466625 |
j-invariant |
L |
4.5140306006279 |
L(r)(E,1)/r! |
Ω |
0.90713650600193 |
Real period |
R |
2.4880657821446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880dg1 6360l1 |
Quadratic twists by: -4 8 |