Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512z |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
201520194675408 = 24 · 310 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25643,1433916] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:729:1] [-107:1715:1] |
Generators of the group modulo torsion |
j |
990692608000/107055837 |
j-invariant |
L |
7.8801105492866 |
L(r)(E,1)/r! |
Ω |
0.54698412327128 |
Real period |
R |
3.6016175854241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024bi1 6216u1 |
Quadratic twists by: -4 -7 |