Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440be |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-272470801121280 = -1 · 220 · 38 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2785,-795263] |
[a1,a2,a3,a4,a6] |
Generators |
[587:14124:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
5.6409940608707 |
L(r)(E,1)/r! |
Ω |
0.24396467680938 |
Real period |
R |
5.7805438595081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440s2 21360l2 |
Quadratic twists by: -4 8 |