Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bh |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
282127104 = 28 · 33 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212,-804] |
[a1,a2,a3,a4,a6] |
j |
1722448/459 |
j-invariant |
L |
1.2755356191134 |
L(r)(E,1)/r! |
Ω |
1.2755356190169 |
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 |
9996j1 119952ec1 39984du1 |
Quadratic twists by: -4 -3 -7 |