Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136w |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-41834610049024 = -1 · 214 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8356,-102000] |
[a1,a2,a3,a4,a6] |
Generators |
[38:520:1] |
Generators of the group modulo torsion |
j |
3938211778608/2553381961 |
j-invariant |
L |
5.2044574356784 |
L(r)(E,1)/r! |
Ω |
0.36774821006279 |
Real period |
R |
1.1793525418723 |
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 |
19136m2 4784b2 |
Quadratic twists by: -4 8 |