Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bc |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1707672305664 = 215 · 38 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288651,59690810] |
[a1,a2,a3,a4,a6] |
Generators |
[271:1170:1] |
Generators of the group modulo torsion |
j |
890749187850313/571896 |
j-invariant |
L |
4.3425751894815 |
L(r)(E,1)/r! |
Ω |
0.69386158283424 |
Real period |
R |
1.5646403063958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10998n2 29328i2 |
Quadratic twists by: -4 -3 |