Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9918j |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1288252035072 = 212 · 39 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16715,834139] |
[a1,a2,a3,a4,a6] |
Generators |
[67:74:1] |
Generators of the group modulo torsion |
j |
26237787100875/65449984 |
j-invariant |
L |
5.9059032939952 |
L(r)(E,1)/r! |
Ω |
0.86215495025846 |
Real period |
R |
0.57084704748884 |
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 |
79344w1 9918b1 |
Quadratic twists by: -4 -3 |