Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952p |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6043326832084779008 = 229 · 172 · 794 |
Discriminant |
Eigenvalues |
2- 2 0 4 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840513,-271712287] |
[a1,a2,a3,a4,a6] |
j |
250505699702316625/23053462341632 |
j-invariant |
L |
5.7097526335017 |
L(r)(E,1)/r! |
Ω |
0.15860423961709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952g2 21488f2 |
Quadratic twists by: -4 8 |