Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cr |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-538497662976 = -1 · 214 · 34 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 4 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1512,-42444] |
[a1,a2,a3,a4,a6] |
Generators |
[60:294:1] |
Generators of the group modulo torsion |
j |
-552611137/777924 |
j-invariant |
L |
5.8014167319476 |
L(r)(E,1)/r! |
Ω |
0.36414791923956 |
Real period |
R |
0.99571774708617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098e1 56784db1 |
Quadratic twists by: -4 13 |