Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975bb |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
401429602265625 = 36 · 57 · 172 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67338,6650667] |
[a1,a2,a3,a4,a6] |
Generators |
[111:684:1] |
Generators of the group modulo torsion |
j |
2161149093764569/25691494545 |
j-invariant |
L |
3.250381495525 |
L(r)(E,1)/r! |
Ω |
0.53485735236521 |
Real period |
R |
0.33761665414688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bb1 7395c1 |
Quadratic twists by: -3 5 |