Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840br |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1340333568000 = -1 · 212 · 39 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83741,9299595] |
[a1,a2,a3,a4,a6] |
Generators |
[181:324:1] |
Generators of the group modulo torsion |
j |
-15855625465767424/327229875 |
j-invariant |
L |
8.0631087455317 |
L(r)(E,1)/r! |
Ω |
0.79042886410804 |
Real period |
R |
0.5667182794065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840g1 127680bg1 |
Quadratic twists by: -4 8 |