Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736bb |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
684766121984 = 212 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121144,16269744] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1470:1] |
Generators of the group modulo torsion |
j |
408023180713/1421 |
j-invariant |
L |
6.8809569301795 |
L(r)(E,1)/r! |
Ω |
0.79319866194754 |
Real period |
R |
2.1687369319575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1421d2 90944ej2 3248h2 |
Quadratic twists by: -4 8 -7 |