Atkin-Lehner |
2+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782j |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-3369969512 = -1 · 23 · 73 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3 4 7- -1 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1465,22133] |
[a1,a2,a3,a4,a6] |
j |
-1014166373823/9824984 |
j-invariant |
L |
5.6716001641017 |
L(r)(E,1)/r! |
Ω |
1.417900041112 |
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 |
54782w1 |
Quadratic twists by: -7 |