Atkin-Lehner |
2+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918r |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86512320 |
Modular degree for the optimal curve |
Δ |
-3.1856905548166E+28 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-744674056,-11615850900672] |
[a1,a2,a3,a4,a6] |
Generators |
[117197554269858650555374697571932442788024128997442410616384948549611890357186144109229126829154775177607380751917827525120123649076482445687746585793500264308077402259059425751577315887404827185370512984776530636167952997:11855428995735819466509825796812068329571668793646276685917506794669984635182160803251343940213090679968093305049489695048416604397568738030131644510448358211435639929435350716895876498007126302921464612216498406945208172772:3085237448998533329918040773353101362899505653701240835918092743102026721405589808322718596428655865020962286013769469210152062675045186744066473398344802373794790229509342906967017325421164937435377805415867909602591] |
Generators of the group modulo torsion |
j |
-2689017174647026477417/1875749244799811584 |
j-invariant |
L |
9.6230885357265 |
L(r)(E,1)/r! |
Ω |
0.014017879669181 |
Real period |
R |
343.24337071046 |
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 |
85918bt1 |
Quadratic twists by: -19 |