Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120bo |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3312995840000 = 212 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46403,3846402] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2450:1] [98:490:1] |
Generators of the group modulo torsion |
j |
22930509321/6875 |
j-invariant |
L |
8.4567028461713 |
L(r)(E,1)/r! |
Ω |
0.77760132018173 |
Real period |
R |
2.7188427497124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2695a3 880i3 |
Quadratic twists by: -4 -7 |