Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424dm |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1254400 |
Modular degree for the optimal curve |
Δ |
-9.6480853579731E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 5 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,405879,-461849139] |
[a1,a2,a3,a4,a6] |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
3.7225215001113 |
L(r)(E,1)/r! |
Ω |
0.093063037507187 |
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 |
47424y1 11856p1 |
Quadratic twists by: -4 8 |