Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192k |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
269440711110144 = 29 · 34 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19224,661284] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:882:1] |
Generators of the group modulo torsion |
j |
13044257864/4473063 |
j-invariant |
L |
4.738116960603 |
L(r)(E,1)/r! |
Ω |
0.50650986689164 |
Real period |
R |
2.3386103980581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bt3 15456d2 |
Quadratic twists by: -4 -7 |