Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cp |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.2505817964223E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,534623,229183809] |
[a1,a2,a3,a4,a6] |
Generators |
[1451627737800:61465461597777:1242296875] |
Generators of the group modulo torsion |
j |
228215687/438976 |
j-invariant |
L |
6.1388269120922 |
L(r)(E,1)/r! |
Ω |
0.14321613959582 |
Real period |
R |
21.432035975194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bo2 14896bf2 59584cd2 |
Quadratic twists by: -4 8 -7 |