Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232k |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1875378176 = -1 · 219 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239752,45104884] |
[a1,a2,a3,a4,a6] |
Generators |
[7626:64:27] |
Generators of the group modulo torsion |
j |
-7593748539095257/9344 |
j-invariant |
L |
4.5782195548716 |
L(r)(E,1)/r! |
Ω |
0.94168061860435 |
Real period |
R |
1.2154385108071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7154g1 57232d1 |
Quadratic twists by: -4 -7 |