Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011r |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-161212051 = -1 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
2 0 -3 7- 11- 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,121,-333] |
[a1,a2,a3,a4,a6] |
j |
110592/91 |
j-invariant |
L |
2.0132122479821 |
L(r)(E,1)/r! |
Ω |
1.006606123991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099cf1 77077r1 91a1 |
Quadratic twists by: -3 -7 -11 |