Atkin-Lehner |
2- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11110i |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-569482925834240 = -1 · 223 · 5 · 113 · 1012 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25992,-1973301] |
[a1,a2,a3,a4,a6] |
Generators |
[269:3097:1] |
Generators of the group modulo torsion |
j |
-1941901255697022801/569482925834240 |
j-invariant |
L |
4.4420457154969 |
L(r)(E,1)/r! |
Ω |
0.1851989381438 |
Real period |
R |
0.52141881683723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88880v1 99990i1 55550d1 122210i1 |
Quadratic twists by: -4 -3 5 -11 |