Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bh |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-3.8756692663486E+19 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -3 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-853841,-426823153] |
[a1,a2,a3,a4,a6] |
j |
-728871512656/410338673 |
j-invariant |
L |
4.8980430298548 |
L(r)(E,1)/r! |
Ω |
0.0765319223478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312c1 13328i1 53312ca1 |
Quadratic twists by: -4 8 -7 |