Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1632h |
Isogeny class |
Conductor |
1632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
384864768 = 29 · 32 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,468] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] |
Generators of the group modulo torsion |
j |
1536800264/751689 |
j-invariant |
L |
2.670384327647 |
L(r)(E,1)/r! |
Ω |
1.5021985632147 |
Real period |
R |
1.7776507001394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1632l2 3264bd4 4896b2 40800s3 |
Quadratic twists by: -4 8 -3 5 |