Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828a |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
101314075886666496 = 28 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-725679,-237445290] |
[a1,a2,a3,a4,a6] |
j |
347482224/833 |
j-invariant |
L |
1.96316691143 |
L(r)(E,1)/r! |
Ω |
0.16359724184115 |
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 |
72828b2 4284c2 |
Quadratic twists by: -3 17 |