Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085r |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.2212380155071E+22 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8539785,-10981663486] |
[a1,a2,a3,a4,a6] |
Generators |
[179178:26573411:8] |
Generators of the group modulo torsion |
j |
-11947588428895092736/2118439154286675 |
j-invariant |
L |
4.3243865036305 |
L(r)(E,1)/r! |
Ω |
0.043735386980783 |
Real period |
R |
2.746559608032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360eq2 24255z2 40425b2 8085c2 |
Quadratic twists by: -4 -3 5 -7 |