Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352eq |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1351625102327808 = 219 · 314 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60780,-5489584] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:160:1] |
Generators of the group modulo torsion |
j |
129938649625/7072758 |
j-invariant |
L |
6.756429914328 |
L(r)(E,1)/r! |
Ω |
0.30509093715046 |
Real period |
R |
2.7682033008941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352o2 11088bo2 14784bx2 |
Quadratic twists by: -4 8 -3 |