Atkin-Lehner |
3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9729b |
Isogeny class |
Conductor |
9729 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
452724474046329 = 318 · 232 · 472 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102888,12687115] |
[a1,a2,a3,a4,a6] |
Generators |
[211366:34247713:8] |
Generators of the group modulo torsion |
j |
165231457514151553/621021226401 |
j-invariant |
L |
3.8016399361074 |
L(r)(E,1)/r! |
Ω |
0.52996031254307 |
Real period |
R |
7.17344270152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3243a2 |
Quadratic twists by: -3 |