Atkin-Lehner |
7- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119119i |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
146432 |
Modular degree for the optimal curve |
Δ |
-18867139291 = -1 · 73 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 -2 -3 7- 11- 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-562,8180] |
[a1,a2,a3,a4,a6] |
Generators |
[16:59:1] [-1:93:1] |
Generators of the group modulo torsion |
j |
-57333846016/55006237 |
j-invariant |
L |
3.3132960860492 |
L(r)(E,1)/r! |
Ω |
1.1148114435777 |
Real period |
R |
0.18575428801497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999712851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119119m1 |
Quadratic twists by: -7 |