Atkin-Lehner |
2+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306f |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-500387189362475008 = -1 · 214 · 118 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -2 3 11- 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-364092,-91182214] |
[a1,a2,a3,a4,a6] |
Generators |
[83668:2571613:64] |
Generators of the group modulo torsion |
j |
-3013001140430737/282455523328 |
j-invariant |
L |
3.0119898552207 |
L(r)(E,1)/r! |
Ω |
0.096662356893049 |
Real period |
R |
7.7899762899858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999939896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846g1 |
Quadratic twists by: -11 |