Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794bg |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
-783838403232984 = -1 · 23 · 37 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11+ -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5019,-1339623] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3867:1] |
Generators of the group modulo torsion |
j |
5929741/332424 |
j-invariant |
L |
7.9996826471347 |
L(r)(E,1)/r! |
Ω |
0.24088765639245 |
Real period |
R |
0.79069487124438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352t1 41382h1 13794l1 |
Quadratic twists by: -4 -3 -11 |