Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ew |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
3330539520 = 218 · 3 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16961,-844575] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1408:1] [949:28928:1] |
Generators of the group modulo torsion |
j |
2058561081361/12705 |
j-invariant |
L |
9.0961691721105 |
L(r)(E,1)/r! |
Ω |
0.4183451304927 |
Real period |
R |
10.871608761733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ca1 18480df1 |
Quadratic twists by: -4 8 |