Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176cc |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3289644604010209536 = 28 · 38 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1296399,561399410] |
[a1,a2,a3,a4,a6] |
j |
267492843088/3651921 |
j-invariant |
L |
4.0354898500845 |
L(r)(E,1)/r! |
Ω |
0.25221811563909 |
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 |
28392g2 6552h2 |
Quadratic twists by: -3 13 |