Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158bs |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1301248 |
Modular degree for the optimal curve |
Δ |
-323500137459720192 = -1 · 213 · 32 · 179 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 3 0 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135824,19443968] |
[a1,a2,a3,a4,a6] |
j |
2336752783/2727936 |
j-invariant |
L |
10.586818195073 |
L(r)(E,1)/r! |
Ω |
0.2035926578325 |
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 |
64158bc1 |
Quadratic twists by: 17 |