Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56316c |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-7.442219688522E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 -2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13281310,-18630052019] |
[a1,a2,a3,a4,a6] |
j |
-50181552673024/14414517 |
j-invariant |
L |
0.15816552648648 |
L(r)(E,1)/r! |
Ω |
0.039541382006827 |
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 |
56316o1 |
Quadratic twists by: -19 |