Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352g |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50784 |
Modular degree for the optimal curve |
Δ |
-712475577362736 = -1 · 24 · 323 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11+ 4 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22635,1842588] |
[a1,a2,a3,a4,a6] |
j |
-80161237430634496/44529723585171 |
j-invariant |
L |
0.94340929405378 |
L(r)(E,1)/r! |
Ω |
0.47170464702689 |
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 |
22704o1 90816bk1 34056i1 124872g1 |
Quadratic twists by: -4 8 -3 -11 |