Atkin-Lehner |
2+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11186a |
Isogeny class |
Conductor |
11186 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
3520277512192 = 218 · 75 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279937,57078333] |
[a1,a2,a3,a4,a6] |
Generators |
[700999:543652:2197] |
Generators of the group modulo torsion |
j |
2426082119578464971625/3520277512192 |
j-invariant |
L |
3.1175384567174 |
L(r)(E,1)/r! |
Ω |
0.67226482002333 |
Real period |
R |
9.2747333011096 |
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 |
89488h1 100674bg1 78302c1 |
Quadratic twists by: -4 -3 -7 |