Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050m |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
405506250000 = 24 · 36 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1917,10741] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:113:1] |
Generators of the group modulo torsion |
j |
68417929/35600 |
j-invariant |
L |
3.7522667640062 |
L(r)(E,1)/r! |
Ω |
0.83284517604204 |
Real period |
R |
1.1263398264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450i1 8010m1 |
Quadratic twists by: -3 5 |