Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782y |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-25780190072 = -1 · 23 · 78 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61447,-5888331] |
[a1,a2,a3,a4,a6] |
Generators |
[25542:1426257:8] |
Generators of the group modulo torsion |
j |
-4450839020593/4472 |
j-invariant |
L |
9.4212878222168 |
L(r)(E,1)/r! |
Ω |
0.15161575221049 |
Real period |
R |
6.9043601522253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782bo1 |
Quadratic twists by: -7 |