Atkin-Lehner |
11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67507a |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
83160 |
Modular degree for the optimal curve |
Δ |
2035409025067 = 11 · 175 · 194 |
Discriminant |
Eigenvalues |
1 -1 -2 -2 11+ 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3256,18761] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:267:1] |
Generators of the group modulo torsion |
j |
29306968057/15618427 |
j-invariant |
L |
3.0463195176898 |
L(r)(E,1)/r! |
Ω |
0.72469336471729 |
Real period |
R |
4.2035979153343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67507e1 |
Quadratic twists by: -19 |