Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48800n |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
465125000000 = 26 · 59 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3658,-79812] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:38:1] |
Generators of the group modulo torsion |
j |
5414689216/465125 |
j-invariant |
L |
4.1026250924055 |
L(r)(E,1)/r! |
Ω |
0.61723400680671 |
Real period |
R |
3.3233952173172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48800m1 97600bx2 9760c1 |
Quadratic twists by: -4 8 5 |