Atkin-Lehner |
3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
1533a |
Isogeny class |
Conductor |
1533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-345463083 = -1 · 33 · 74 · 732 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,70,-837] |
[a1,a2,a3,a4,a6] |
j |
37092620375/345463083 |
j-invariant |
L |
1.6870003385683 |
L(r)(E,1)/r! |
Ω |
0.84350016928415 |
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 |
24528n2 98112y2 4599d2 38325m2 |
Quadratic twists by: -4 8 -3 5 |