Atkin-Lehner |
2- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
268a |
Isogeny class |
Conductor |
268 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18 |
Modular degree for the optimal curve |
Δ |
-17152 = -1 · 28 · 67 |
Discriminant |
Eigenvalues |
2- 2 2 2 -4 -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-7] |
[a1,a2,a3,a4,a6] |
j |
8192/67 |
j-invariant |
L |
1.9329143629597 |
L(r)(E,1)/r! |
Ω |
1.9329143629597 |
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 |
1072b1 4288b1 2412b1 6700g1 |
Quadratic twists by: -4 8 -3 5 |