Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
805b |
Isogeny class |
Conductor |
805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
197225 = 52 · 73 · 23 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163,-758] |
[a1,a2,a3,a4,a6] |
j |
476196576129/197225 |
j-invariant |
L |
0.66840825933862 |
L(r)(E,1)/r! |
Ω |
1.3368165186772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12880p1 51520y1 7245m1 4025b1 |
Quadratic twists by: -4 8 -3 5 |