Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360k |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
836000000 = 28 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1156,-15456] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:8:1] |
Generators of the group modulo torsion |
j |
667932971344/3265625 |
j-invariant |
L |
2.805020355634 |
L(r)(E,1)/r! |
Ω |
0.81894849549188 |
Real period |
R |
1.7125743383589 |
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 |
16720g2 66880bf2 75240n2 41800b2 |
Quadratic twists by: -4 8 -3 5 |