Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248f |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5040166912 = -1 · 211 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,312,2576] |
[a1,a2,a3,a4,a6] |
j |
1228250/1849 |
j-invariant |
L |
3.7083052667263 |
L(r)(E,1)/r! |
Ω |
0.92707632581149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624b2 83248b2 |
Quadratic twists by: -4 -11 |