Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
594540793169215488 = 215 · 32 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222337,15950017] |
[a1,a2,a3,a4,a6] |
j |
1536800264/751689 |
j-invariant |
L |
2.0609994250185 |
L(r)(E,1)/r! |
Ω |
0.25762492819443 |
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 |
55488dp3 27744z3 3264bd4 |
Quadratic twists by: -4 8 17 |