Atkin-Lehner |
3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195m |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.0378844201565E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23264415,-221440911944] |
[a1,a2,a3,a4,a6] |
Generators |
[35367101367940059936576668381490297672639808788811963621758101689212324786:-4636524170723176517293681714287922754894171085186666989331942088909847097871:1870645804142537096122853748423001136932531636445852236727476615834488] |
Generators of the group modulo torsion |
j |
-1910172565998415508505841/27954518795013427734375 |
j-invariant |
L |
6.8097536115216 |
L(r)(E,1)/r! |
Ω |
0.029255304130123 |
Real period |
R |
116.38493965458 |
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 |
19065g6 |
Quadratic twists by: -3 |