Atkin-Lehner |
2+ 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450l |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1651200 |
Modular degree for the optimal curve |
Δ |
8.2375531996977E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1410992,-474500084] |
[a1,a2,a3,a4,a6] |
j |
159062388824930661/42176272382452 |
j-invariant |
L |
2.5426400412695 |
L(r)(E,1)/r! |
Ω |
0.14125778009255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47450be1 |
Quadratic twists by: 5 |