Atkin-Lehner |
7- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119m |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1025024 |
Modular degree for the optimal curve |
Δ |
-2219700070446859 = -1 · 79 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 2 3 7- 11- 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27554,-2860922] |
[a1,a2,a3,a4,a6] |
j |
-57333846016/55006237 |
j-invariant |
L |
2.8527433279321 |
L(r)(E,1)/r! |
Ω |
0.17829656696608 |
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 |
119119i1 |
Quadratic twists by: -7 |