Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154r |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-99393650928 = -1 · 24 · 32 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-15208] |
[a1,a2,a3,a4,a6] |
j |
-117649/20592 |
j-invariant |
L |
1.8961574234484 |
L(r)(E,1)/r! |
Ω |
0.4740393558621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232bs1 33462de1 122694di1 858m1 |
Quadratic twists by: -4 -3 -11 13 |