Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404q |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -7 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,2401] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] [-7:63:1] |
Generators of the group modulo torsion |
j |
-562432/297 |
j-invariant |
L |
6.935368664783 |
L(r)(E,1)/r! |
Ω |
1.4318049622217 |
Real period |
R |
0.20182476104676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616gf1 6468p1 19404m1 |
Quadratic twists by: -4 -3 -7 |