Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856b |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-1900544 = -1 · 216 · 29 |
Discriminant |
Eigenvalues |
2+ 1 3 2 3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-1] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
3.0742634926782 |
L(r)(E,1)/r! |
Ω |
1.5371317463391 |
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 |
1856m1 232a1 16704ba1 46400p1 |
Quadratic twists by: -4 8 -3 5 |