Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dt |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
14410081764000000 = 28 · 310 · 56 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296780,-61887153] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:635:1] |
Generators of the group modulo torsion |
j |
253792437805297/1265082624 |
j-invariant |
L |
9.8181654003729 |
L(r)(E,1)/r! |
Ω |
0.20460738892105 |
Real period |
R |
1.4995434467824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850671 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37050a2 4446h2 |
Quadratic twists by: -3 5 |