Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096bi |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
226679281680384 = 220 · 32 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16944,437076] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:702:1] |
Generators of the group modulo torsion |
j |
131352161359537/55341621504 |
j-invariant |
L |
5.7283942194563 |
L(r)(E,1)/r! |
Ω |
0.50512018762753 |
Real period |
R |
2.8351639667985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262k2 72384bp2 54288bp2 |
Quadratic twists by: -4 8 -3 |