Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8085p |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18990551574225 = 32 · 52 · 78 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13231,-548080] |
[a1,a2,a3,a4,a6] |
j |
2177286259681/161417025 |
j-invariant |
L |
1.7889190259759 |
L(r)(E,1)/r! |
Ω |
0.44722975649398 |
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 |
129360du2 24255bm2 40425w2 1155e2 |
Quadratic twists by: -4 -3 5 -7 |