Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966cl |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
939600 |
Modular degree for the optimal curve |
Δ |
-20422059562719864 = -1 · 23 · 36 · 7 · 298 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242366,-46376827] |
[a1,a2,a3,a4,a6] |
Generators |
[6672475423772291609138267055:-124040205909797605599480537529:9015549246658316794757625] |
Generators of the group modulo torsion |
j |
-4317433/56 |
j-invariant |
L |
14.440995275775 |
L(r)(E,1)/r! |
Ω |
0.10750199676208 |
Real period |
R |
44.777448204785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774c1 105966z1 |
Quadratic twists by: -3 29 |