Atkin-Lehner |
2- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176q |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
68097123584 = 28 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 7+ -2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1112,-6788] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:86:1] |
Generators of the group modulo torsion |
j |
594015952896/266004389 |
j-invariant |
L |
4.9568809906055 |
L(r)(E,1)/r! |
Ω |
0.86202330376058 |
Real period |
R |
2.8751432640977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044f1 |
Quadratic twists by: -4 |