Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828m |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-101314075886666496 = -1 · 28 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 -7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,90168,-11221292] |
[a1,a2,a3,a4,a6] |
Generators |
[2482:54621:8] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
5.4886417070492 |
L(r)(E,1)/r! |
Ω |
0.17990487029051 |
Real period |
R |
1.9067861037339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24276i1 4284h1 |
Quadratic twists by: -3 17 |