Atkin-Lehner |
3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11193f |
Isogeny class |
Conductor |
11193 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-9167067 = -1 · 33 · 72 · 132 · 41 |
Discriminant |
Eigenvalues |
0 3- 2 7+ -3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57,-241] |
[a1,a2,a3,a4,a6] |
Generators |
[27:136:1] |
Generators of the group modulo torsion |
j |
-20842283008/9167067 |
j-invariant |
L |
4.8589199069934 |
L(r)(E,1)/r! |
Ω |
0.8493658290045 |
Real period |
R |
0.47672036997771 |
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 |
33579e1 78351e1 |
Quadratic twists by: -3 -7 |