Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175j |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10976797265625 = 34 · 58 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13938,-614133] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1229:1] |
Generators of the group modulo torsion |
j |
19164920149081/702515025 |
j-invariant |
L |
5.3628625396565 |
L(r)(E,1)/r! |
Ω |
0.44037983559995 |
Real period |
R |
3.0444528257946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8835d2 |
Quadratic twists by: 5 |