Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496j |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1828652958613504 = 218 · 178 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105196,12970320] |
[a1,a2,a3,a4,a6] |
j |
20346417/289 |
j-invariant |
L |
1.8835614956913 |
L(r)(E,1)/r! |
Ω |
0.47089037392283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18496c2 4624e2 1088k2 |
Quadratic twists by: -4 8 17 |