Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483z |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-5173393973086122651 = -1 · 37 · 78 · 177 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-599482,-209705660] |
[a1,a2,a3,a4,a6] |
Generators |
[1745:-63725:1] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
3.2079881132422 |
L(r)(E,1)/r! |
Ω |
0.084803859383228 |
Real period |
R |
1.3510116742062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449bo1 6069a1 2499g1 |
Quadratic twists by: -3 -7 17 |