Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344bv |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
770528704167936 = 215 · 313 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121323,-16210406] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:126:1] |
Generators of the group modulo torsion |
j |
66140223486121/258048504 |
j-invariant |
L |
4.8504847967046 |
L(r)(E,1)/r! |
Ω |
0.25586783031788 |
Real period |
R |
1.5797494584988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418n1 14448bf1 |
Quadratic twists by: -4 -3 |