Atkin-Lehner |
2+ 3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81498d |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-651984 = -1 · 24 · 3 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 2 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26041,-1628363] |
[a1,a2,a3,a4,a6] |
j |
-6758104455653113/2256 |
j-invariant |
L |
1.5032907282596 |
L(r)(E,1)/r! |
Ω |
0.18791133289822 |
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 |
81498k1 |
Quadratic twists by: 17 |