Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440o |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.5199636256407E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14067521,20301077535] |
[a1,a2,a3,a4,a6] |
j |
1174455422712147024721/172422928834560 |
j-invariant |
L |
2.3425551301674 |
L(r)(E,1)/r! |
Ω |
0.1952129215644 |
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 |
85440x2 2670c2 |
Quadratic twists by: -4 8 |