Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bx |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-36353037701967714 = -1 · 2 · 315 · 73 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,51592,-8000755] |
[a1,a2,a3,a4,a6] |
Generators |
[12948:202717:64] |
Generators of the group modulo torsion |
j |
20832968985844679/49866992732466 |
j-invariant |
L |
8.9830245435555 |
L(r)(E,1)/r! |
Ω |
0.18929543428249 |
Real period |
R |
1.9772938038286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386l1 |
Quadratic twists by: -3 |