Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856f |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-30408704 = -1 · 220 · 29 |
Discriminant |
Eigenvalues |
2+ 3 3 -2 1 -3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,368] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
3.8647569534795 |
L(r)(E,1)/r! |
Ω |
1.9323784767397 |
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 |
1856o1 58a1 16704bb1 46400y1 |
Quadratic twists by: -4 8 -3 5 |