Atkin-Lehner |
2- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53482k |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-585706411576 = -1 · 23 · 117 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 -3 3 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3169,78697] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-134:1] |
Generators of the group modulo torsion |
j |
-1986121593/330616 |
j-invariant |
L |
7.5713036361317 |
L(r)(E,1)/r! |
Ω |
0.88448953884666 |
Real period |
R |
0.35667011420737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4862b1 |
Quadratic twists by: -11 |