Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856l |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-7784628224 = -1 · 228 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 2 -3 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,319,-3743] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1024:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
2.4547220808008 |
L(r)(E,1)/r! |
Ω |
0.68357260750802 |
Real period |
R |
0.89775469856432 |
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 |
1856a1 464c1 16704cf1 46400bw1 |
Quadratic twists by: -4 8 -3 5 |