Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536j |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
643399268688 = 24 · 38 · 112 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16587,815832] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2442:1] |
Generators of the group modulo torsion |
j |
31545211678394368/40212454293 |
j-invariant |
L |
7.0503551005308 |
L(r)(E,1)/r! |
Ω |
0.90875422671378 |
Real period |
R |
0.64652199069875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768e1 78144cg1 58608o1 |
Quadratic twists by: -4 8 -3 |