Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cj |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-61014016 = -1 · 216 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21644,1225616] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1:1] |
Generators of the group modulo torsion |
j |
-349188777252/19 |
j-invariant |
L |
3.5707246099022 |
L(r)(E,1)/r! |
Ω |
1.4805756835771 |
Real period |
R |
1.2058568330902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584be1 14896p1 59584bv1 |
Quadratic twists by: -4 8 -7 |