Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322d |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.8046167427095E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-983141772284,-375208623491697072] |
[a1,a2,a3,a4,a6] |
Generators |
[5910846071036767087429267333834720869307701227320552140883246385003942092320355659099567059572144065918713012565463168276450410484820445352577685996203408290147852373255573875675657736611492378671671208385:11373845706084773426699343489261315607096262472965160328391304704899310291622121032926168032564249642618119251026713699416408948356055337670039932230914051964846753135949906512290982916230417395774641755019161:1486770611179283972540757397767862711142740164237501682561001315840364004700642908197754946455987691310520755316118800345385727195403522399040890267987431505224795393204203565996898648453507657874125] |
Generators of the group modulo torsion |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
3.0317556297913 |
L(r)(E,1)/r! |
Ω |
0.0047945242262707 |
Real period |
R |
316.16855883003 |
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 |
105966bx4 1218h3 |
Quadratic twists by: -3 29 |