Atkin-Lehner |
2- 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370bc |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.1938723289227E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32785457,-11926060819] |
[a1,a2,a3,a4,a6] |
Generators |
[-549:77134:1] |
Generators of the group modulo torsion |
j |
5346134695229837412721609/3009427062994156252500 |
j-invariant |
L |
10.650145639077 |
L(r)(E,1)/r! |
Ω |
0.067911293110601 |
Real period |
R |
3.2671743385434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790h2 |
Quadratic twists by: -3 |