Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328b |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-7336899233712 = -1 · 24 · 33 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 0 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4573,-54618] |
[a1,a2,a3,a4,a6] |
Generators |
[14434:157396:343] |
Generators of the group modulo torsion |
j |
38912/27 |
j-invariant |
L |
5.6528074635072 |
L(r)(E,1)/r! |
Ω |
0.42041211230198 |
Real period |
R |
4.4819573446279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8664e1 69312dd1 51984m1 17328n1 |
Quadratic twists by: -4 8 -3 -19 |