Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950cx |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4790016 |
Modular degree for the optimal curve |
Δ |
-12727558559375000 = -1 · 23 · 58 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18425338,30434192031] |
[a1,a2,a3,a4,a6] |
j |
-206542103927929/3800 |
j-invariant |
L |
5.1601837940904 |
L(r)(E,1)/r! |
Ω |
0.28667687393401 |
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 |
22990h1 114950n1 |
Quadratic twists by: 5 -11 |