Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472w |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59833073664 = 214 · 32 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3409,-76849] |
[a1,a2,a3,a4,a6] |
j |
267492843088/3651921 |
j-invariant |
L |
1.2506075580562 |
L(r)(E,1)/r! |
Ω |
0.62530377902808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472cf2 2184h2 52416bp2 122304bw2 |
Quadratic twists by: -4 8 -3 -7 |