Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744u |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-18000371515392 = -1 · 222 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3248,215124] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:522:1] |
Generators of the group modulo torsion |
j |
-925434168625/4394621952 |
j-invariant |
L |
5.5260110137883 |
L(r)(E,1)/r! |
Ω |
0.59939320079984 |
Real period |
R |
0.7682785143395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1218f1 38976bg1 29232bk1 68208br1 |
Quadratic twists by: -4 8 -3 -7 |