Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067g |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-108212846592037719 = -1 · 3 · 79 · 197 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -6 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,105766,8716695] |
[a1,a2,a3,a4,a6] |
Generators |
[1340262:-59088511:729] |
Generators of the group modulo torsion |
j |
68921/57 |
j-invariant |
L |
5.1896175434754 |
L(r)(E,1)/r! |
Ω |
0.21614011059469 |
Real period |
R |
12.005216267178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53067r1 2793k1 |
Quadratic twists by: -7 -19 |