Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bw |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6210000000000000000 = -1 · 216 · 33 · 516 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-467841,-171731295] |
[a1,a2,a3,a4,a6] |
Generators |
[33540470607222968:-1567665656541796875:13920993967616] |
Generators of the group modulo torsion |
j |
-172798332611391364/94757080078125 |
j-invariant |
L |
3.8603395325566 |
L(r)(E,1)/r! |
Ω |
0.089000345123263 |
Real period |
R |
21.68721664624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080w3 5520k4 66240fl3 110400hr3 |
Quadratic twists by: -4 8 -3 5 |