Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286m |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
27064870624839168 = 29 · 36 · 117 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3630366,-2662692848] |
[a1,a2,a3,a4,a6] |
Generators |
[4058:220308:1] |
Generators of the group modulo torsion |
j |
2986886106831048625/15277413888 |
j-invariant |
L |
6.0839465837594 |
L(r)(E,1)/r! |
Ω |
0.10937349736554 |
Real period |
R |
4.6354515569063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4026i2 |
Quadratic twists by: -11 |