Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168n |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
403148534784 = 210 · 3 · 195 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2440,34112] |
[a1,a2,a3,a4,a6] |
Generators |
[7:132:1] |
Generators of the group modulo torsion |
j |
1569535748644/393699741 |
j-invariant |
L |
6.8323144162164 |
L(r)(E,1)/r! |
Ω |
0.88785539935062 |
Real period |
R |
3.8476504288951 |
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 |
48336i1 72504k1 |
Quadratic twists by: -4 -3 |