Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bk |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2619843750000 = -1 · 24 · 36 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,77875] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:275:1] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
5.8905717632659 |
L(r)(E,1)/r! |
Ω |
0.64642774983374 |
Real period |
R |
2.2781245718402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bf1 4600e1 8280h1 |
Quadratic twists by: -4 -3 5 |