Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158z |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-94868913003228 = -1 · 22 · 310 · 73 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6489,511609] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:-805:1] |
Generators of the group modulo torsion |
j |
-41454067728529/130135683132 |
j-invariant |
L |
3.0161349169755 |
L(r)(E,1)/r! |
Ω |
0.527884777262 |
Real period |
R |
0.23806764961783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386r1 |
Quadratic twists by: -3 |