Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582j |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.1706435167316E+25 |
Discriminant |
Eigenvalues |
2+ 2 4 0 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1489784358,-22129511053420] |
[a1,a2,a3,a4,a6] |
Generators |
[234461136211124177295045046428941760223662101171013818144967670138214086571420321240900503645291994200443342574437303370931971185634567155:-61524556799490413332199281372556762006402188966914739769475974264427456729103999830835484574254502772504459555612199491988239088609292226042:2655163421593354922096625267406023714247776274223378513713452685415094334901230681316957958654906779421663293979806192917524436178625] |
Generators of the group modulo torsion |
j |
2470170476556066238923961/484385480113651712 |
j-invariant |
L |
10.063197885359 |
L(r)(E,1)/r! |
Ω |
0.024300981371046 |
Real period |
R |
207.05332290302 |
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 |
3634a2 |
Quadratic twists by: -23 |