Atkin-Lehner |
2- 3- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bf |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
65098267030944 = 25 · 36 · 72 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14522,554073] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2423:1] |
Generators of the group modulo torsion |
j |
464566023349849/89298034336 |
j-invariant |
L |
10.864623343855 |
L(r)(E,1)/r! |
Ω |
0.58864695538421 |
Real period |
R |
0.36913886139851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118b1 |
Quadratic twists by: -3 |