Atkin-Lehner |
2- 3- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618g |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-62095298544 = -1 · 24 · 39 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-689,14033] |
[a1,a2,a3,a4,a6] |
j |
-49552182217/85178736 |
j-invariant |
L |
3.9617559630527 |
L(r)(E,1)/r! |
Ω |
0.99043899076409 |
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 |
16206e1 |
Quadratic twists by: -3 |