Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570z |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7.5030822941366E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5631473,3016381897] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:57698:1] |
Generators of the group modulo torsion |
j |
1003456073855123940843/381196072455245000 |
j-invariant |
L |
10.658814453815 |
L(r)(E,1)/r! |
Ω |
0.12043916933099 |
Real period |
R |
7.3749639999737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570c2 |
Quadratic twists by: -3 |