Atkin-Lehner |
2+ 3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158p |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
666222940656 = 24 · 313 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24885,-1504251] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:63:1] |
Generators of the group modulo torsion |
j |
2337862343841361/913886064 |
j-invariant |
L |
4.6061100587348 |
L(r)(E,1)/r! |
Ω |
0.38012332021388 |
Real period |
R |
1.5146762291996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386y1 |
Quadratic twists by: -3 |