Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47753a |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.8354671192884E+19 |
Discriminant |
Eigenvalues |
1 0 0 2 -6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,506498,-215500467] |
[a1,a2,a3,a4,a6] |
Generators |
[44819360952095027737464929064885396:-617687643875203504170835265487024567:120433125818318785934709143325248] |
Generators of the group modulo torsion |
j |
648337611375/1279291157 |
j-invariant |
L |
6.1515655375457 |
L(r)(E,1)/r! |
Ω |
0.10964921253618 |
Real period |
R |
56.102231792244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
901a2 |
Quadratic twists by: 53 |