Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744b |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-203995421263872 = -1 · 211 · 35 · 75 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20872,-1341872] |
[a1,a2,a3,a4,a6] |
j |
-491028574078226/99607139289 |
j-invariant |
L |
1.9645480981951 |
L(r)(E,1)/r! |
Ω |
0.19645480981951 |
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 |
4872e1 38976cb1 29232o1 68208v1 |
Quadratic twists by: -4 8 -3 -7 |