Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320f |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14526998784000 = 211 · 310 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47163,-3938038] |
[a1,a2,a3,a4,a6] |
j |
7770885300722/9730125 |
j-invariant |
L |
1.2959607358441 |
L(r)(E,1)/r! |
Ω |
0.32399018396104 |
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 |
11160n2 89280fl2 7440c2 111600bd2 |
Quadratic twists by: -4 8 -3 5 |