Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11110a |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24686420 = 22 · 5 · 112 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
64432972729/24686420 |
j-invariant |
L |
2.1991264266112 |
L(r)(E,1)/r! |
Ω |
1.6311792329188 |
Real period |
R |
0.67409098345252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88880l2 99990bc2 55550m2 122210o2 |
Quadratic twists by: -4 -3 5 -11 |