Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440s |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
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 |
[-67:828:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
9.87995623068 |
L(r)(E,1)/r! |
Ω |
0.4516453377482 |
Real period |
R |
2.7344343573123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440be2 2670a2 |
Quadratic twists by: -4 8 |