Atkin-Lehner |
7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55447b |
Isogeny class |
Conductor |
55447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1691712 |
Modular degree for the optimal curve |
Δ |
-1.7167463781667E+19 |
Discriminant |
Eigenvalues |
1 1 -3 7+ 2 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8709305,-9895627415] |
[a1,a2,a3,a4,a6] |
Generators |
[10301009360195389758:502687872119730553781:2182531677046344] |
Generators of the group modulo torsion |
j |
-208527857/49 |
j-invariant |
L |
4.3251810618549 |
L(r)(E,1)/r! |
Ω |
0.043940760372785 |
Real period |
R |
24.608023536466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55447d1 |
Quadratic twists by: 89 |