Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cd |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.8597161464202E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8309761,9569487935] |
[a1,a2,a3,a4,a6] |
Generators |
[-2593:117000:1] |
Generators of the group modulo torsion |
j |
-1936597775351996897288/87271610913703125 |
j-invariant |
L |
7.4584409295004 |
L(r)(E,1)/r! |
Ω |
0.141714774817 |
Real period |
R |
2.1929144132696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360r2 43680e2 |
Quadratic twists by: -4 8 |