Atkin-Lehner |
3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065a |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.0187339232586E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1393148,-574717328] |
[a1,a2,a3,a4,a6] |
Generators |
[4474779100:1023095170969:85184] |
Generators of the group modulo torsion |
j |
15192312840927765243/1533675721820125 |
j-invariant |
L |
2.5805877410103 |
L(r)(E,1)/r! |
Ω |
0.13986761078603 |
Real period |
R |
18.450216790229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065c2 |
Quadratic twists by: -3 |