Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856a |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
2 |
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] |
j |
13651919/29696 |
j-invariant |
L |
1.8264700906123 |
L(r)(E,1)/r! |
Ω |
0.91323504530616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1856l1 58b1 16704r1 46400o1 |
Quadratic twists by: -4 8 -3 5 |