Atkin-Lehner |
2+ 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608h |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37528815863808 = 211 · 312 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13395,-518834] |
[a1,a2,a3,a4,a6] |
Generators |
[5693590:9009468:42875] |
Generators of the group modulo torsion |
j |
178030489250/25136649 |
j-invariant |
L |
8.6458490375965 |
L(r)(E,1)/r! |
Ω |
0.44794489985366 |
Real period |
R |
9.6505720177085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28536j2 |
Quadratic twists by: -3 |