Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610bl |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
26991954000000 = 27 · 38 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9285,236097] |
[a1,a2,a3,a4,a6] |
Generators |
[234:-3417:1] |
Generators of the group modulo torsion |
j |
88526309511756241/26991954000000 |
j-invariant |
L |
6.4720463317462 |
L(r)(E,1)/r! |
Ω |
0.6184409671959 |
Real period |
R |
0.06229225965202 |
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 |
44880bs2 16830s2 28050p2 61710bl2 |
Quadratic twists by: -4 -3 5 -11 |