Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bk |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
3.2741017044255E+26 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-373792997,2641701739734] |
[a1,a2,a3,a4,a6] |
Generators |
[-169826:8128663:8] |
Generators of the group modulo torsion |
j |
49094060756434440524632009/2782940530242919921875 |
j-invariant |
L |
8.4085480929269 |
L(r)(E,1)/r! |
Ω |
0.053382064388571 |
Real period |
R |
1.6407953481849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668204 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015i3 |
Quadratic twists by: -7 |