Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154p |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
67860936 = 23 · 33 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11+ 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-342,2368] |
[a1,a2,a3,a4,a6] |
j |
154241737/2376 |
j-invariant |
L |
1.958349731789 |
L(r)(E,1)/r! |
Ω |
1.958349731789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89232bp1 33462dc1 122694df1 11154bi1 |
Quadratic twists by: -4 -3 -11 13 |