Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874b |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
34910352 = 24 · 36 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-573,-5131] |
[a1,a2,a3,a4,a6] |
Generators |
[35:112:1] |
Generators of the group modulo torsion |
j |
28568426193/47888 |
j-invariant |
L |
3.7890743845118 |
L(r)(E,1)/r! |
Ω |
0.97581862431583 |
Real period |
R |
3.8829699394167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986c1 |
Quadratic twists by: -3 |