Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232k |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-40450752 = -1 · 26 · 37 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 2 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-272] |
[a1,a2,a3,a4,a6] |
j |
1088/3 |
j-invariant |
L |
4.1949726226187 |
L(r)(E,1)/r! |
Ω |
1.0487431714355 |
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 |
83232l1 27744ba1 83232y1 |
Quadratic twists by: -4 -3 17 |