Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13872bb |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6171703735320576 = -1 · 215 · 33 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -3 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-601693472,5681021020416] |
[a1,a2,a3,a4,a6] |
Generators |
[14464:62384:1] |
Generators of the group modulo torsion |
j |
-843137281012581793/216 |
j-invariant |
L |
3.4289076817459 |
L(r)(E,1)/r! |
Ω |
0.17417182574112 |
Real period |
R |
4.9217312661729 |
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 |
1734l2 55488ei2 41616cw2 13872bl2 |
Quadratic twists by: -4 8 -3 17 |