Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bf |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2213261675718912 = 28 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2213055,-1267172478] |
[a1,a2,a3,a4,a6] |
j |
49284342000/91 |
j-invariant |
L |
0.99024249742912 |
L(r)(E,1)/r! |
Ω |
0.12378030570391 |
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 |
85176a2 6552b2 |
Quadratic twists by: -3 13 |