Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dy |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8179384320 = -1 · 215 · 33 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,-1936] |
[a1,a2,a3,a4,a6] |
Generators |
[5:23:1] |
Generators of the group modulo torsion |
j |
12812904/9245 |
j-invariant |
L |
9.2842856208782 |
L(r)(E,1)/r! |
Ω |
0.73683519478986 |
Real period |
R |
3.150055049372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999108891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ef2 61920bf2 123840dn2 |
Quadratic twists by: -4 8 -3 |