Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cl |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1.7281868870348E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-844513,-359211647] |
[a1,a2,a3,a4,a6] |
j |
-254099214331341625/65925097924608 |
j-invariant |
L |
1.0876334292305 |
L(r)(E,1)/r! |
Ω |
0.07768810205069 |
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 |
47424bn1 11856bc1 |
Quadratic twists by: -4 8 |