Atkin-Lehner |
3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487h |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-87386693466178323 = -1 · 38 · 72 · 437 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-127803101880,-17585722084051877] |
[a1,a2,a3,a4,a6] |
Generators |
[278035603332571412616540390365458564700562880010865187443253312207562724845228024167746928527039628625573906589308438216:142386430129558238671741661364990301889375753902140262849325248780460860716719540340120675340040101103464114516561143995441:503965633898748430330232188839707835952544533779919940179042275922475991607973512462279141149602067763091935973888] |
Generators of the group modulo torsion |
j |
-50096759460260217094144000/18963 |
j-invariant |
L |
5.8207755586251 |
L(r)(E,1)/r! |
Ω |
0.0039924015025201 |
Real period |
R |
182.24543407492 |
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 |
38829b3 2709b3 |
Quadratic twists by: -3 -43 |