Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330w |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-184515821568000 = -1 · 228 · 32 · 53 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8859,-568575] |
[a1,a2,a3,a4,a6] |
Generators |
[66:519:1] |
Generators of the group modulo torsion |
j |
76890866172601391/184515821568000 |
j-invariant |
L |
8.3230375865855 |
L(r)(E,1)/r! |
Ω |
0.29396860039165 |
Real period |
R |
2.0223339634371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990k1 91650q1 |
Quadratic twists by: -3 5 |