Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bj |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131235840 = 215 · 32 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170881,-27245761] |
[a1,a2,a3,a4,a6] |
j |
16840603438698248/4005 |
j-invariant |
L |
1.8785203270252 |
L(r)(E,1)/r! |
Ω |
0.23481503376664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440ba4 42720i4 |
Quadratic twists by: -4 8 |