Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8460k |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-9195966490500000000 = -1 · 28 · 311 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-558327,216960046] |
[a1,a2,a3,a4,a6] |
Generators |
[-793:12690:1] |
Generators of the group modulo torsion |
j |
-103138808366288464/49275369140625 |
j-invariant |
L |
4.4812851270512 |
L(r)(E,1)/r! |
Ω |
0.21540175246988 |
Real period |
R |
1.1557950758594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33840cd2 2820e2 42300j2 |
Quadratic twists by: -4 -3 5 |