Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
816f |
Isogeny class |
Conductor |
816 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-1880064 = -1 · 212 · 33 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,61] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
1.9526773173775 |
L(r)(E,1)/r! |
Ω |
1.9526773173775 |
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 |
51a1 3264z1 2448s1 20400dm1 |
Quadratic twists by: -4 8 -3 5 |