Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32445l |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1064358225 = 310 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10935,-437400] |
[a1,a2,a3,a4,a6] |
j |
198369494210161/1460025 |
j-invariant |
L |
3.734936091 |
L(r)(E,1)/r! |
Ω |
0.46686701137586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815l1 |
Quadratic twists by: -3 |