Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264bc |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
366072863811305472 = 217 · 322 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215436,-25178096] |
[a1,a2,a3,a4,a6] |
Generators |
[-46080:254452:125] |
Generators of the group modulo torsion |
j |
11572870364354/3831158169 |
j-invariant |
L |
3.9584652253307 |
L(r)(E,1)/r! |
Ω |
0.22748083555238 |
Real period |
R |
8.7006565096034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51264n4 12816a3 17088m3 |
Quadratic twists by: -4 8 -3 |