Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216q |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19156663369728 = 215 · 32 · 19 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117352,-15432848] |
[a1,a2,a3,a4,a6] |
Generators |
[1908:81872:1] |
Generators of the group modulo torsion |
j |
43635399015129193/4676919768 |
j-invariant |
L |
6.0364136594374 |
L(r)(E,1)/r! |
Ω |
0.25794636698602 |
Real period |
R |
2.9252271169633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902f3 117648bj4 |
Quadratic twists by: -4 -3 |