Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271m |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61294822106661 = 33 · 112 · 138 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-559224,160730055] |
[a1,a2,a3,a4,a6] |
Generators |
[1185562:-550621:2744] |
Generators of the group modulo torsion |
j |
4007026517395537/12698829 |
j-invariant |
L |
9.7466283407679 |
L(r)(E,1)/r! |
Ω |
0.54376302685781 |
Real period |
R |
8.9622021158517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867c2 |
Quadratic twists by: 13 |