Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cp |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9556721664 = -1 · 221 · 3 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-4703] |
[a1,a2,a3,a4,a6] |
Generators |
[21:64:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
4.2127999477499 |
L(r)(E,1)/r! |
Ω |
0.59304109754243 |
Real period |
R |
0.88796543047587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664bq1 10416bj1 124992fs1 |
Quadratic twists by: -4 8 -3 |