Atkin-Lehner |
2- 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990by |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-401315702850 = -1 · 2 · 39 · 52 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4622,125871] |
[a1,a2,a3,a4,a6] |
j |
-14976071831449/550501650 |
j-invariant |
L |
3.7657596713696 |
L(r)(E,1)/r! |
Ω |
0.94143991084827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330c1 |
Quadratic twists by: -3 |