Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bp |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
77445047466960 = 24 · 3 · 5 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36581,-2647320] |
[a1,a2,a3,a4,a6] |
j |
1048576/15 |
j-invariant |
L |
2.7640814484191 |
L(r)(E,1)/r! |
Ω |
0.34551018333131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660t1 86640cx1 |
Quadratic twists by: -4 -19 |