Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966t |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
73393200 |
Modular degree for the optimal curve |
Δ |
-3.5084831175538E+26 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -2 -7 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-411916491,3341737445701] |
[a1,a2,a3,a4,a6] |
Generators |
[17451:1202735:1] |
Generators of the group modulo torsion |
j |
-21195308337309457/962072674304 |
j-invariant |
L |
0.83922703580975 |
L(r)(E,1)/r! |
Ω |
0.05337028833977 |
Real period |
R |
5.2415370414379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774g1 105966ca1 |
Quadratic twists by: -3 29 |