Atkin-Lehner |
2- 3+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168l |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
62643456 = 28 · 35 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -6 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43036,3450724] |
[a1,a2,a3,a4,a6] |
Generators |
[120:2:1] |
Generators of the group modulo torsion |
j |
34434163299872464/244701 |
j-invariant |
L |
2.2483587248051 |
L(r)(E,1)/r! |
Ω |
1.3542140083946 |
Real period |
R |
0.41506709996865 |
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 |
48336t1 72504f1 |
Quadratic twists by: -4 -3 |