Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47526i |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
25477248899824704 = 26 · 32 · 897 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-111059,11989089] |
[a1,a2,a3,a4,a6] |
Generators |
[40726:-257993:343] |
Generators of the group modulo torsion |
j |
304821217/51264 |
j-invariant |
L |
10.187167719819 |
L(r)(E,1)/r! |
Ω |
0.35991792641699 |
Real period |
R |
2.3586784125181 |
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 |
534a1 |
Quadratic twists by: 89 |