Atkin-Lehner |
2+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116714c |
Isogeny class |
Conductor |
116714 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
-956121088 = -1 · 214 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ -2 0 3 4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,-1180] |
[a1,a2,a3,a4,a6] |
j |
130859375/212992 |
j-invariant |
L |
1.6519838947352 |
L(r)(E,1)/r! |
Ω |
0.82599182259989 |
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 |
116714f1 |
Quadratic twists by: -67 |