Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cl |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-915812352 = -1 · 212 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,1463] |
[a1,a2,a3,a4,a6] |
Generators |
[2:39:1] |
Generators of the group modulo torsion |
j |
314432/223587 |
j-invariant |
L |
6.5369864989745 |
L(r)(E,1)/r! |
Ω |
1.2268975682778 |
Real period |
R |
0.88801035880964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472cd2 8736p1 52416es2 122304gf2 |
Quadratic twists by: -4 8 -3 -7 |