Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472s |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-56733696 = -1 · 212 · 36 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 1 3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,432] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
4.3288450537266 |
L(r)(E,1)/r! |
Ω |
1.7873840537815 |
Real period |
R |
0.60547214860849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5472l1 10944ba1 608a1 103968v1 |
Quadratic twists by: -4 8 -3 -19 |