Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518a |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-2161917380106 = -1 · 2 · 39 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,70802] |
[a1,a2,a3,a4,a6] |
j |
-27/62 |
j-invariant |
L |
1.3242093353877 |
L(r)(E,1)/r! |
Ω |
0.66210467388077 |
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 |
67518bb1 558e1 |
Quadratic twists by: -3 -11 |