Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328o |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-63491742203904 = -1 · 215 · 39 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -4 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12123,641034] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-432:1] [109:784:1] |
Generators of the group modulo torsion |
j |
-2444008923/787528 |
j-invariant |
L |
8.2959214246366 |
L(r)(E,1)/r! |
Ω |
0.5871869902487 |
Real period |
R |
0.88301528754954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166x1 41328t1 |
Quadratic twists by: -4 -3 |