Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080cj |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20801126400000000 = 225 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111905,12665025] |
[a1,a2,a3,a4,a6] |
j |
591202341974089/79350000000 |
j-invariant |
L |
2.9527927391008 |
L(r)(E,1)/r! |
Ω |
0.3690990923876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bk2 5520bc2 66240em2 110400hw2 |
Quadratic twists by: -4 8 -3 5 |