Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216z |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
481886208 = 216 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,404] |
[a1,a2,a3,a4,a6] |
j |
244140625/117648 |
j-invariant |
L |
2.9546876879683 |
L(r)(E,1)/r! |
Ω |
1.4773438440026 |
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 |
4902j1 117648bn1 |
Quadratic twists by: -4 -3 |