Atkin-Lehner |
2- 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834q |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
7.7928226670077E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1267501974,17368693069860] |
[a1,a2,a3,a4,a6] |
Generators |
[-35988:4064538:1] |
Generators of the group modulo torsion |
j |
225200652891919039722467527495777/779282266700773756956672 |
j-invariant |
L |
7.4051259475044 |
L(r)(E,1)/r! |
Ω |
0.078453715816146 |
Real period |
R |
3.9328527816632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
126672bo4 47502j4 110838bq4 |
Quadratic twists by: -4 -3 -7 |