Atkin-Lehner |
7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55447c |
Isogeny class |
Conductor |
55447 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6776460 |
Modular degree for the optimal curve |
Δ |
-1.0695329935978E+22 |
Discriminant |
Eigenvalues |
-1 -2 -4 7+ -5 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1307130,-5008958549] |
[a1,a2,a3,a4,a6] |
Generators |
[61801135987:14663268773047:1092727] |
Generators of the group modulo torsion |
j |
-7921/343 |
j-invariant |
L |
1.1344787605666 |
L(r)(E,1)/r! |
Ω |
0.056073426387262 |
Real period |
R |
20.232021363051 |
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 |
55447e1 |
Quadratic twists by: 89 |