Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368l |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
97958984256 = 26 · 310 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1209,-5920] |
[a1,a2,a3,a4,a6] |
j |
4188852928/2099601 |
j-invariant |
L |
1.7061435652926 |
L(r)(E,1)/r! |
Ω |
0.85307178255047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368y1 92736ea2 15456l1 |
Quadratic twists by: -4 8 -3 |