Atkin-Lehner |
3- 5- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
40545i |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
949117905 = 36 · 5 · 173 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 2 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-244112,-46361734] |
[a1,a2,a3,a4,a6] |
j |
2206794549237788089/1301945 |
j-invariant |
L |
0.42956847998311 |
L(r)(E,1)/r! |
Ω |
0.21478424002012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505a1 |
Quadratic twists by: -3 |