Atkin-Lehner |
13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6877b |
Isogeny class |
Conductor |
6877 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-3957132397234211 = -1 · 133 · 239 |
Discriminant |
Eigenvalues |
0 1 -3 0 3 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,16223,2925600] |
[a1,a2,a3,a4,a6] |
j |
262144/2197 |
j-invariant |
L |
0.6439227781262 |
L(r)(E,1)/r! |
Ω |
0.3219613890631 |
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 |
110032l1 61893c1 89401a1 6877a1 |
Quadratic twists by: -4 -3 13 -23 |