Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136m |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
24 |
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 |
[2946:58305:8] |
Generators of the group modulo torsion |
j |
3938211778608/2553381961 |
j-invariant |
L |
5.8698599142672 |
L(r)(E,1)/r! |
Ω |
0.40182653820348 |
Real period |
R |
2.4346574770425 |
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 |
19136w2 1196a2 |
Quadratic twists by: -4 8 |