Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dy |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
480743424 = 212 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1956,33280] |
[a1,a2,a3,a4,a6] |
Generators |
[30:40:1] |
Generators of the group modulo torsion |
j |
277167808/161 |
j-invariant |
L |
5.6366914886995 |
L(r)(E,1)/r! |
Ω |
1.6405729540997 |
Real period |
R |
1.7179033356698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fo1 46368k1 10304bb1 |
Quadratic twists by: -4 8 -3 |