Atkin-Lehner |
2- 3+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168m |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-18561024 = -1 · 211 · 32 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 0 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
5848414/9063 |
j-invariant |
L |
4.7032135670621 |
L(r)(E,1)/r! |
Ω |
1.1503043857594 |
Real period |
R |
2.0443343628379 |
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 |
48336u1 72504h1 |
Quadratic twists by: -4 -3 |