Atkin-Lehner |
2+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306a |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
43002024085837696 = 27 · 119 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 11+ 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-211268,-36108464] |
[a1,a2,a3,a4,a6] |
j |
442276557659/18237056 |
j-invariant |
L |
0.44650299621797 |
L(r)(E,1)/r! |
Ω |
0.22325157509601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119306o1 |
Quadratic twists by: -11 |