Atkin-Lehner |
7+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
66101b |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71736 |
Modular degree for the optimal curve |
Δ |
-552146874979 = -1 · 78 · 19 · 712 |
Discriminant |
Eigenvalues |
0 -2 -1 7+ 4 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,229,35802] |
[a1,a2,a3,a4,a6] |
j |
229376/95779 |
j-invariant |
L |
1.4341570031741 |
L(r)(E,1)/r! |
Ω |
0.71707850048813 |
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 |
66101k1 |
Quadratic twists by: -7 |