Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011j |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-1860859 = -1 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
0 0 -1 7- 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,22,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:0:1] |
Generators of the group modulo torsion |
j |
9732096/15379 |
j-invariant |
L |
3.1707088158 |
L(r)(E,1)/r! |
Ω |
1.7968254981224 |
Real period |
R |
1.7646169976513 |
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 |
99099bo1 77077u1 11011e1 |
Quadratic twists by: -3 -7 -11 |