Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175k |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.1646827609511E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-678719813,6798731285742] |
[a1,a2,a3,a4,a6] |
Generators |
[14467:-94421:1] |
Generators of the group modulo torsion |
j |
2212968681333971735917174921/2665396967008687531875 |
j-invariant |
L |
3.2734715403675 |
L(r)(E,1)/r! |
Ω |
0.064162247867983 |
Real period |
R |
1.0628886303637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835c4 |
Quadratic twists by: 5 |