Atkin-Lehner |
2+ 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846i |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97749195552 = 25 · 36 · 232 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1152,864] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:83:1] |
Generators of the group modulo torsion |
j |
232041498625/134086688 |
j-invariant |
L |
3.675051470897 |
L(r)(E,1)/r! |
Ω |
0.90473821780777 |
Real period |
R |
2.0310026693703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4094f2 |
Quadratic twists by: -3 |