Atkin-Lehner |
2- 3+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bf |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-2349992736 = -1 · 25 · 39 · 7 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,268,-1673] |
[a1,a2,a3,a4,a6] |
Generators |
[31:173:1] |
Generators of the group modulo torsion |
j |
108531333/119392 |
j-invariant |
L |
11.81718504443 |
L(r)(E,1)/r! |
Ω |
0.78538168263007 |
Real period |
R |
1.5046423038628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158g1 |
Quadratic twists by: -3 |