Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158br |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1541595234816 = -1 · 29 · 39 · 7 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22577,-1301407] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-4580:1] |
Generators of the group modulo torsion |
j |
-1745729089577929/2114671104 |
j-invariant |
L |
11.205809386981 |
L(r)(E,1)/r! |
Ω |
0.19472556072241 |
Real period |
R |
0.79925943421632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386k1 |
Quadratic twists by: -3 |