Atkin-Lehner |
2- 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672be |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-42725511936 = -1 · 28 · 37 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -1 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,283,-9681] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] [34:201:1] |
Generators of the group modulo torsion |
j |
9756803072/166896531 |
j-invariant |
L |
9.3922161681549 |
L(r)(E,1)/r! |
Ω |
0.55686495608824 |
Real period |
R |
0.60236559699533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13668a1 |
Quadratic twists by: -4 |