Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dm |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7344589012992 = 215 · 37 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9516,332656] |
[a1,a2,a3,a4,a6] |
Generators |
[104:684:1] |
Generators of the group modulo torsion |
j |
3989418056/307461 |
j-invariant |
L |
4.2030196115334 |
L(r)(E,1)/r! |
Ω |
0.72749422978653 |
Real period |
R |
2.8886961844186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ex3 22176o3 14784cf3 |
Quadratic twists by: -4 8 -3 |