Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18224h |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
211971882745856 = 217 · 176 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 4 -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184592,30456340] |
[a1,a2,a3,a4,a6] |
Generators |
[110460:728650:343] |
Generators of the group modulo torsion |
j |
169826219834508433/51750947936 |
j-invariant |
L |
4.6411565743754 |
L(r)(E,1)/r! |
Ω |
0.55000947965416 |
Real period |
R |
8.4383210582002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278b2 72896l2 |
Quadratic twists by: -4 8 |