Atkin-Lehner |
2- 3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718w |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
2000 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-1.5402588724729E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1561580,774335376] |
[a1,a2,a3,a4,a6] |
Generators |
[-992:37204:1] |
Generators of the group modulo torsion |
j |
-421130255542777411888321/15402588724729479168 |
j-invariant |
L |
7.7314655398888 |
L(r)(E,1)/r! |
Ω |
0.21969184770856 |
Real period |
R |
1.7596159394465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
98154bc1 |
Quadratic twists by: -3 |