Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472t |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-154772287488 = -1 · 212 · 33 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1433,-28665] |
[a1,a2,a3,a4,a6] |
j |
-79507000000/37786203 |
j-invariant |
L |
2.2759598039164 |
L(r)(E,1)/r! |
Ω |
0.37932663398606 |
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 |
17472g2 8736c1 52416bk2 122304bp2 |
Quadratic twists by: -4 8 -3 -7 |