Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206i |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-125030324613376 = -1 · 28 · 711 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 7- 1 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20467,-1243693] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3586:1] |
Generators of the group modulo torsion |
j |
-8058944177649/1062740224 |
j-invariant |
L |
8.3627635570927 |
L(r)(E,1)/r! |
Ω |
0.19811934211642 |
Real period |
R |
2.6381710979596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458e1 |
Quadratic twists by: -7 |