Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794n |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-44572928279616 = -1 · 26 · 32 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633,331780] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1386:1] |
Generators of the group modulo torsion |
j |
-24729001/207936 |
j-invariant |
L |
4.8622001497331 |
L(r)(E,1)/r! |
Ω |
0.54795362354522 |
Real period |
R |
0.36972412299201 |
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 |
110352bk1 41382bx1 13794bm1 |
Quadratic twists by: -4 -3 -11 |