Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610a |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-10684450 = -1 · 2 · 52 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40,-134] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
2906631/4450 |
j-invariant |
L |
3.0355220154472 |
L(r)(E,1)/r! |
Ω |
1.2053044115724 |
Real period |
R |
1.2592345909886 |
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 |
43610n1 |
Quadratic twists by: -7 |