Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584bd |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
22350232221859584 = 28 · 320 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1195311,-502950310] |
[a1,a2,a3,a4,a6] |
j |
1012043003911031248/119760760791 |
j-invariant |
L |
1.7326612168085 |
L(r)(E,1)/r! |
Ω |
0.14438843507765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18396g2 24528j2 |
Quadratic twists by: -4 -3 |