Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dn |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
817649753260032 = 219 · 310 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72876,7446224] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2592:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
4.2090591725651 |
L(r)(E,1)/r! |
Ω |
0.50241125632458 |
Real period |
R |
1.0472145875447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cp3 11088bm4 14784bu3 |
Quadratic twists by: -4 8 -3 |