Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160c |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.2368629838034E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-916254099841,-337576042103844479] |
[a1,a2,a3,a4,a6] |
Generators |
[79984863041280678778054164160035417684745824175890921307922119877691336377652178750704325826174223032390299154042431439541776464282013074826874831752848193935027009614986808859305531357565207159394270061786088255073907772983934701286450870414070870475341220889408056211545420329211614791147610392509390491227345210560723662890930358436513683117240364363229149442209470945483358625602667:-236017323687406759065382193853577112819933705558883978284870160602638247943290735516290734570498702437310528918502538225865504676952756572076268776213094354939505001588857600376995569617263620217975449549867997940690776965364775839365203748699620863411595653758563610571257566012527889157846897106997951011849968333258188481071793011720098917775261143037281295564064647203244374363164498724:9073356225369489269389870272554421655765651593376134850044779458798355000287254929528978077043753165662759159039557261861418207499903222172016210195090540065696634829093327830307619089973099377809844106631436450328398886770443559722840945771159764994228597566491137160871095318724159711829130617633138423584064565415687924134094734366577023037400201922956274913641338526062544569] |
Generators of the group modulo torsion |
j |
324512614167969952866880759071039841/47182578422675102760960 |
j-invariant |
L |
5.7735791552423 |
L(r)(E,1)/r! |
Ω |
0.004879727519079 |
Real period |
R |
591.58827338909 |
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 |
68160da2 2130n2 |
Quadratic twists by: -4 8 |