Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856k |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-6829056 = -1 · 210 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1472,-22236] |
[a1,a2,a3,a4,a6] |
j |
-344700718852/6669 |
j-invariant |
L |
2.3121647140171 |
L(r)(E,1)/r! |
Ω |
0.38536078566952 |
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 |
5928l1 47424cu1 35568j1 |
Quadratic twists by: -4 8 -3 |