Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ea |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-36355130695876608 = -1 · 218 · 37 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72564,5248784] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:873:1] [256:6372:1] |
Generators of the group modulo torsion |
j |
221115865823/190238433 |
j-invariant |
L |
8.1619239634099 |
L(r)(E,1)/r! |
Ω |
0.23771843245348 |
Real period |
R |
17.16720886801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cf3 11088bh4 14784br4 |
Quadratic twists by: -4 8 -3 |