Atkin-Lehner |
2+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184b |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
18725547900879872 = 210 · 134 · 173 · 194 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 -2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164328,-24835004] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:722:1] |
Generators of the group modulo torsion |
j |
479248880511086500/18286667871953 |
j-invariant |
L |
1.6906072359187 |
L(r)(E,1)/r! |
Ω |
0.23767891122576 |
Real period |
R |
1.7782469930665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592h1 |
Quadratic twists by: -4 |