Atkin-Lehner |
3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675v |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
993600 |
Modular degree for the optimal curve |
Δ |
-1.6465970706123E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,634987,-13548108] |
[a1,a2,a3,a4,a6] |
j |
2899466720841575/1686115400307 |
j-invariant |
L |
1.1709764978165 |
L(r)(E,1)/r! |
Ω |
0.13010849965723 |
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 |
51675l1 |
Quadratic twists by: 5 |