Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344v |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
59652440064 = 220 · 33 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1851,-28310] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] |
Generators of the group modulo torsion |
j |
6341898051/539392 |
j-invariant |
L |
5.3300058266587 |
L(r)(E,1)/r! |
Ω |
0.73180306365103 |
Real period |
R |
1.8208470596129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5418l1 43344u1 |
Quadratic twists by: -4 -3 |