Atkin-Lehner |
2- 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860q |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
987840 |
Modular degree for the optimal curve |
Δ |
42049181290671360 = 28 · 36 · 5 · 133 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-857232,305329716] |
[a1,a2,a3,a4,a6] |
j |
373294286161772544/225314971765 |
j-invariant |
L |
0.35760343015983 |
L(r)(E,1)/r! |
Ω |
0.35760344537396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540c1 |
Quadratic twists by: -3 |