Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784d |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-12725248 = -1 · 210 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -4 2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,141] |
[a1,a2,a3,a4,a6] |
Generators |
[111:496:27] |
Generators of the group modulo torsion |
j |
4499456/12427 |
j-invariant |
L |
6.046356736288 |
L(r)(E,1)/r! |
Ω |
1.5771351424632 |
Real period |
R |
3.8337594372728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46784z1 5848b1 |
Quadratic twists by: -4 8 |