Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23200c |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
55256328125000000 = 26 · 513 · 294 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2597158,-1611826812] |
[a1,a2,a3,a4,a6] |
j |
1937398648791307456/55256328125 |
j-invariant |
L |
0.47570277241043 |
L(r)(E,1)/r! |
Ω |
0.1189256931026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23200j1 46400f2 4640e1 |
Quadratic twists by: -4 8 5 |