Atkin-Lehner |
2- 3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cc |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
487872 |
Modular degree for the optimal curve |
Δ |
4532646338673750 = 2 · 314 · 54 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141488,20167931] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:44021:8] |
Generators of the group modulo torsion |
j |
501190360630759825/7252234141878 |
j-invariant |
L |
6.4538098628078 |
L(r)(E,1)/r! |
Ω |
0.43653149392905 |
Real period |
R |
2.464048967928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650x1 |
Quadratic twists by: 5 |