Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628h |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8363520 |
Modular degree for the optimal curve |
Δ |
-1.1738155827954E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7027680,-164994172684] |
[a1,a2,a3,a4,a6] |
j |
-7929856000/2424965283 |
j-invariant |
L |
0.25609803110806 |
L(r)(E,1)/r! |
Ω |
0.032012253600023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18876a1 56628t1 |
Quadratic twists by: -3 -11 |