Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bf |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-3064159734272 = -1 · 29 · 77 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1920458,-1025166633] |
[a1,a2,a3,a4,a6] |
j |
-6658094075293284625/26044928 |
j-invariant |
L |
2.3084520311574 |
L(r)(E,1)/r! |
Ω |
0.064123667619515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826l1 |
Quadratic twists by: -7 |