Atkin-Lehner |
3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055f |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5343315305625 = 38 · 54 · 114 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39015,2973856] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1076:1] |
Generators of the group modulo torsion |
j |
9009429246595441/7329650625 |
j-invariant |
L |
4.2301919469841 |
L(r)(E,1)/r! |
Ω |
0.75808720847506 |
Real period |
R |
1.3950215422717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685c3 |
Quadratic twists by: -3 |