Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bh |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
526320 |
Modular degree for the optimal curve |
Δ |
-2923191155651050 = -1 · 2 · 52 · 1710 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 2 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,-2602153] |
[a1,a2,a3,a4,a6] |
j |
-289/1450 |
j-invariant |
L |
10.257040496863 |
L(r)(E,1)/r! |
Ω |
0.20514080949745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bb1 |
Quadratic twists by: 17 |