Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744u |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
98982646382592 = 217 · 312 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77488,8262740] |
[a1,a2,a3,a4,a6] |
Generators |
[146:288:1] |
Generators of the group modulo torsion |
j |
12562403073144625/24165685152 |
j-invariant |
L |
5.5260110137883 |
L(r)(E,1)/r! |
Ω |
0.59939320079984 |
Real period |
R |
0.38413925716975 |
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 |
1218f2 38976bg2 29232bk2 68208br2 |
Quadratic twists by: -4 8 -3 -7 |