Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560ce |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-192728023040 = -1 · 214 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-721,22159] |
[a1,a2,a3,a4,a6] |
Generators |
[27:152:1] |
Generators of the group modulo torsion |
j |
-2533446736/11763185 |
j-invariant |
L |
5.3539348741358 |
L(r)(E,1)/r! |
Ω |
0.87531819650267 |
Real period |
R |
0.50971320063325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560o2 10640t2 |
Quadratic twists by: -4 8 |