Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440u |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
744184460800000 = 212 · 55 · 115 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2684183308,-53526194830368] |
[a1,a2,a3,a4,a6] |
Generators |
[-65768921301994506438760984625380442475314569851994555699854843387711019562602129976042086762509679527749329278582587964182578697776419153640282449212168780799458784347474762387205055755110300871:-201704524414156129382739275527787220939250548742254263629100376466980153416992064739086126215663285960878673735743634511694306320083151089406726803880416137461882739475821307124403524364027:2198746982074964729583610796977467663663634498348733273401616121280907813304447212743960344948589489274109921018467905691244901034752170232449635747834810272039690732355333197775794666626181] |
Generators of the group modulo torsion |
j |
522156006392624491964585961024/181685659375 |
j-invariant |
L |
6.1108662768544 |
L(r)(E,1)/r! |
Ω |
0.020974736415065 |
Real period |
R |
291.34412733146 |
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 |
33440g2 66880bk1 |
Quadratic twists by: -4 8 |