Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cw |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-16529329152 = -1 · 210 · 34 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-477,-7533] |
[a1,a2,a3,a4,a6] |
Generators |
[1479:56892:1] |
Generators of the group modulo torsion |
j |
-11745974272/16141923 |
j-invariant |
L |
11.264102845107 |
L(r)(E,1)/r! |
Ω |
0.48621074537751 |
Real period |
R |
5.7917800590077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552y1 27888b1 |
Quadratic twists by: -4 8 |