Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840o |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1588608919307520 = 28 · 36 · 5 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18681396,31072420620] |
[a1,a2,a3,a4,a6] |
Generators |
[-2829:247566:1] |
Generators of the group modulo torsion |
j |
2816512931943416990772304/6205503591045 |
j-invariant |
L |
8.9506371691216 |
L(r)(E,1)/r! |
Ω |
0.31021829445001 |
Real period |
R |
2.4043921464796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920e2 |
Quadratic twists by: -4 |