Atkin-Lehner |
3- 7+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111069c |
Isogeny class |
Conductor |
111069 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
502154034463683 = 310 · 76 · 412 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164547,25709670] |
[a1,a2,a3,a4,a6] |
Generators |
[102:3108:1] |
Generators of the group modulo torsion |
j |
675876854989176625/688825836027 |
j-invariant |
L |
6.9136350579318 |
L(r)(E,1)/r! |
Ω |
0.52049878889845 |
Real period |
R |
3.32067776507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37023a2 |
Quadratic twists by: -3 |