Atkin-Lehner |
2+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
112216c |
Isogeny class |
Conductor |
112216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-69330585439232 = -1 · 210 · 138 · 83 |
Discriminant |
Eigenvalues |
2+ 1 0 1 -3 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41968,-3347408] |
[a1,a2,a3,a4,a6] |
j |
-1653974500/14027 |
j-invariant |
L |
0.66677564544944 |
L(r)(E,1)/r! |
Ω |
0.16669374962621 |
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 |
8632a1 |
Quadratic twists by: 13 |