Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344z |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2196480 |
Modular degree for the optimal curve |
Δ |
3.1316259090868E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -4 -3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3709011,556753682] |
[a1,a2,a3,a4,a6] |
Generators |
[-248395:1119744:125] |
Generators of the group modulo torsion |
j |
1889777177808124753/1048775180673024 |
j-invariant |
L |
6.7387032521151 |
L(r)(E,1)/r! |
Ω |
0.12308465917142 |
Real period |
R |
3.4217826664375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418j1 14448m1 |
Quadratic twists by: -4 -3 |