Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136b |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
144351420966144 = 28 · 39 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46791,3852630] |
[a1,a2,a3,a4,a6] |
Generators |
[97:476:1] |
Generators of the group modulo torsion |
j |
2248430329584/28647703 |
j-invariant |
L |
4.0548870687473 |
L(r)(E,1)/r! |
Ω |
0.58223071466801 |
Real period |
R |
0.58036659217063 |
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 |
8568h2 68544dg2 17136a2 119952g2 |
Quadratic twists by: -4 8 -3 -7 |