Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368g |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1856141217824768 = -1 · 216 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9605,-2040918] |
[a1,a2,a3,a4,a6] |
j |
4869777375/92236816 |
j-invariant |
L |
1.8258359031581 |
L(r)(E,1)/r! |
Ω |
0.22822948789541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046o2 129472bu2 32368v2 |
Quadratic twists by: -4 8 17 |