Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16380h |
Isogeny class |
Conductor |
16380 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3913508101230000 = -1 · 24 · 39 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37248,-1184479] |
[a1,a2,a3,a4,a6] |
Generators |
[52:945:1] |
Generators of the group modulo torsion |
j |
489987585867776/335520241875 |
j-invariant |
L |
5.3714019952963 |
L(r)(E,1)/r! |
Ω |
0.24962277364601 |
Real period |
R |
0.14943108835899 |
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 |
65520dn1 5460a1 81900s1 114660be1 |
Quadratic twists by: -4 -3 5 -7 |