Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936h |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4777218611248E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7203569,-7421040753] |
[a1,a2,a3,a4,a6] |
Generators |
[3562:110121:1] |
Generators of the group modulo torsion |
j |
2523172801179425003728/9019298468779533 |
j-invariant |
L |
5.5878062012802 |
L(r)(E,1)/r! |
Ω |
0.092173478272662 |
Real period |
R |
7.5778389872451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936c2 27984b2 |
Quadratic twists by: -4 8 |