Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080r |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
357696000000000000 = 218 · 35 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1928545,1031085025] |
[a1,a2,a3,a4,a6] |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
1.7876154923139 |
L(r)(E,1)/r! |
Ω |
0.29793591538565 |
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 |
22080dc4 345c4 66240cd4 110400el4 |
Quadratic twists by: -4 8 -3 5 |