Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882l |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
67604339457656766 = 2 · 36 · 1710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127021,12076663] |
[a1,a2,a3,a4,a6] |
j |
112425913/33534 |
j-invariant |
L |
2.5808163342745 |
L(r)(E,1)/r! |
Ω |
0.32260204178377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646cg1 39882bf1 |
Quadratic twists by: -3 17 |