Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365m |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
73763865 = 36 · 5 · 73 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
384240583/215055 |
j-invariant |
L |
4.1599620913478 |
L(r)(E,1)/r! |
Ω |
1.5985213119517 |
Real period |
R |
0.86746045866211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43365i1 |
Quadratic twists by: -7 |