Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085w |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46608416085 = 3 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43170,-3455985] |
[a1,a2,a3,a4,a6] |
j |
75627935783569/396165 |
j-invariant |
L |
1.3248420925197 |
L(r)(E,1)/r! |
Ω |
0.33121052312992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fk4 24255bh4 40425j4 1155a3 |
Quadratic twists by: -4 -3 5 -7 |