Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150ck |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
10243584 |
Modular degree for the optimal curve |
Δ |
-2.2010697701136E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 1 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27932563,-57270620383] |
[a1,a2,a3,a4,a6] |
Generators |
[11582:1077209:1] |
Generators of the group modulo torsion |
j |
-9082538350921/82944000 |
j-invariant |
L |
13.439729771774 |
L(r)(E,1)/r! |
Ω |
0.032817482388694 |
Real period |
R |
1.312594806944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830f1 54150k1 |
Quadratic twists by: 5 -19 |