Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400k |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1213842500000000 = 28 · 510 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82908,-9006688] |
[a1,a2,a3,a4,a6] |
j |
15756446357584/303460625 |
j-invariant |
L |
1.1267254263639 |
L(r)(E,1)/r! |
Ω |
0.28168135288752 |
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 |
44200h1 17680a1 |
Quadratic twists by: -4 5 |