Atkin-Lehner |
2- 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990cb |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-61717140 = -1 · 22 · 37 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[39:214:1] |
Generators of the group modulo torsion |
j |
-68417929/84660 |
j-invariant |
L |
12.788483875742 |
L(r)(E,1)/r! |
Ω |
0.77053214262973 |
Real period |
R |
2.0746188203834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330k1 |
Quadratic twists by: -3 |