Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dx |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
30767579136 = 218 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,-36720] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:145:8] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
6.3760085823295 |
L(r)(E,1)/r! |
Ω |
0.70450127773732 |
Real period |
R |
4.5251930589484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cm1 23184bj1 10304w1 |
Quadratic twists by: -4 8 -3 |