Atkin-Lehner |
2+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550i |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-776687500000 = -1 · 25 · 59 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 2 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1258,-39084] |
[a1,a2,a3,a4,a6] |
j |
112678587/397664 |
j-invariant |
L |
1.826545873367 |
L(r)(E,1)/r! |
Ω |
0.45663646834046 |
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 |
36550be1 |
Quadratic twists by: 5 |