Atkin-Lehner |
11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
112211c |
Isogeny class |
Conductor |
112211 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
208000 |
Modular degree for the optimal curve |
Δ |
-11676721656611 = -1 · 11 · 1016 |
Discriminant |
Eigenvalues |
2 1 1 2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3400,180123] |
[a1,a2,a3,a4,a6] |
Generators |
[225801119610:4209051490373:12008989000] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
19.299924457097 |
L(r)(E,1)/r! |
Ω |
0.63145522995935 |
Real period |
R |
15.282100409826 |
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 |
11a3 |
Quadratic twists by: 101 |