Atkin-Lehner |
11- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11033a |
Isogeny class |
Conductor |
11033 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-172318105091 = -1 · 112 · 176 · 59 |
Discriminant |
Eigenvalues |
-1 1 -3 -3 11- -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1263,-9916] |
[a1,a2,a3,a4,a6] |
Generators |
[13:87:1] [79:725:1] |
Generators of the group modulo torsion |
j |
222798505024367/172318105091 |
j-invariant |
L |
3.8539064734979 |
L(r)(E,1)/r! |
Ω |
0.56671199233412 |
Real period |
R |
0.56670562320151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99297d1 121363d1 |
Quadratic twists by: -3 -11 |