Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840d |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8426057840640 = -1 · 211 · 34 · 5 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,139920] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:372:1] [-19:378:1] |
Generators of the group modulo torsion |
j |
-8331019058/4114286055 |
j-invariant |
L |
9.0220923406318 |
L(r)(E,1)/r! |
Ω |
0.5959197737562 |
Real period |
R |
1.8924720947929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920p3 |
Quadratic twists by: -4 |