Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966bl |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3613864464 = 24 · 33 · 73 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-506,-3159] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:39:1] |
Generators of the group modulo torsion |
j |
21717639/5488 |
j-invariant |
L |
7.959747879241 |
L(r)(E,1)/r! |
Ω |
1.0254790244668 |
Real period |
R |
1.9404950434827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966e1 105966f1 |
Quadratic twists by: -3 29 |