Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bk |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1503898225676000000 = 28 · 56 · 710 · 113 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-447876,98989624] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:80801:8] |
Generators of the group modulo torsion |
j |
329890530231376/49933296875 |
j-invariant |
L |
3.0747810976074 |
L(r)(E,1)/r! |
Ω |
0.25725303771059 |
Real period |
R |
5.97618034947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h2 6160i2 |
Quadratic twists by: -4 -7 |