Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585j |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7575073374375 = 34 · 54 · 136 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28734,1867621] |
[a1,a2,a3,a4,a6] |
Generators |
[65:492:1] |
Generators of the group modulo torsion |
j |
543538277281/1569375 |
j-invariant |
L |
10.824533458775 |
L(r)(E,1)/r! |
Ω |
0.74440809847872 |
Real period |
R |
3.6352820048803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
465b3 |
Quadratic twists by: 13 |