Atkin-Lehner |
11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6413c |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-10502230211 = -1 · 113 · 534 |
Discriminant |
Eigenvalues |
0 3 1 4 11+ 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22,-4931] |
[a1,a2,a3,a4,a6] |
j |
-884736/7890481 |
j-invariant |
L |
4.6728048861759 |
L(r)(E,1)/r! |
Ω |
0.58410061077199 |
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 |
102608m1 57717i1 6413d1 |
Quadratic twists by: -4 -3 -11 |