Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714r |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7666255427487E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1842977,-941070815] |
[a1,a2,a3,a4,a6] |
Generators |
[-835:4304:1] |
Generators of the group modulo torsion |
j |
196741326427281/5020614352 |
j-invariant |
L |
7.1293484890812 |
L(r)(E,1)/r! |
Ω |
0.1297763532672 |
Real period |
R |
3.4334782057586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746g2 3978b2 |
Quadratic twists by: -3 13 |