Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bl |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-255688704 = -1 · 215 · 33 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2081984,1155589428] |
[a1,a2,a3,a4,a6] |
Generators |
[826:336:1] |
Generators of the group modulo torsion |
j |
-843137281012581793/216 |
j-invariant |
L |
6.4911894272366 |
L(r)(E,1)/r! |
Ω |
0.71812883453731 |
Real period |
R |
0.75325265642374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734j2 55488cx2 41616cp2 13872bb2 |
Quadratic twists by: -4 8 -3 17 |