Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185p |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-231110404875 = -1 · 312 · 53 · 72 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 4 -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1370,-11966] |
[a1,a2,a3,a4,a6] |
Generators |
[11:67:1] |
Generators of the group modulo torsion |
j |
5799256150016/4716538875 |
j-invariant |
L |
3.6752532125194 |
L(r)(E,1)/r! |
Ω |
0.54998421913841 |
Real period |
R |
0.18562417512765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52185a1 |
Quadratic twists by: -7 |