Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472br |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
819054945386496 = 214 · 36 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45137,3439665] |
[a1,a2,a3,a4,a6] |
j |
620742479063632/49991146569 |
j-invariant |
L |
0.98123267762824 |
L(r)(E,1)/r! |
Ω |
0.49061633881412 |
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 |
17472bh2 4368k2 52416eu2 122304in2 |
Quadratic twists by: -4 8 -3 -7 |