Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782k |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-796201588 = -1 · 22 · 72 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128,-1436] |
[a1,a2,a3,a4,a6] |
Generators |
[18:34:1] |
Generators of the group modulo torsion |
j |
-4754060073/16249012 |
j-invariant |
L |
2.7001748080905 |
L(r)(E,1)/r! |
Ω |
0.65203035255607 |
Real period |
R |
1.0352949052118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782a1 |
Quadratic twists by: -7 |