Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38726c |
Isogeny class |
Conductor |
38726 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
167552 |
Modular degree for the optimal curve |
Δ |
-1017009628838272 = -1 · 27 · 179 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 3 -2 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13204,-1638409] |
[a1,a2,a3,a4,a6] |
Generators |
[32905:435481:125] |
Generators of the group modulo torsion |
j |
-2146689/8576 |
j-invariant |
L |
10.340324830599 |
L(r)(E,1)/r! |
Ω |
0.2032171587539 |
Real period |
R |
3.6345091885244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38726d1 |
Quadratic twists by: 17 |