Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466x |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108731983867198384 = 24 · 73 · 11 · 239 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11+ 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8042927,8778805769] |
[a1,a2,a3,a4,a6] |
Generators |
[43968:-5585:27] |
Generators of the group modulo torsion |
j |
388686162930440257/734497456 |
j-invariant |
L |
8.4258818774317 |
L(r)(E,1)/r! |
Ω |
0.28660122542408 |
Real period |
R |
3.6749153195363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542q2 |
Quadratic twists by: -23 |