Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050x |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
9765888000000 = 216 · 3 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7101,173848] |
[a1,a2,a3,a4,a6] |
j |
2533811507137/625016832 |
j-invariant |
L |
1.362701234449 |
L(r)(E,1)/r! |
Ω |
0.68135061722414 |
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 |
84150ft1 1122e1 |
Quadratic twists by: -3 5 |