Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fe |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.84121710416E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687027,-73626446] |
[a1,a2,a3,a4,a6] |
Generators |
[-567:11560:1] |
Generators of the group modulo torsion |
j |
12010404962647729/6166198828125 |
j-invariant |
L |
7.0272235034706 |
L(r)(E,1)/r! |
Ω |
0.17524646276863 |
Real period |
R |
1.2530965315507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355p3 28560de3 |
Quadratic twists by: -4 -3 |