Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900k |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-217825200 = -1 · 24 · 38 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 0 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,708] |
[a1,a2,a3,a4,a6] |
Generators |
[7:27:1] |
Generators of the group modulo torsion |
j |
-41943040/544563 |
j-invariant |
L |
6.7311808122923 |
L(r)(E,1)/r! |
Ω |
1.5038751724759 |
Real period |
R |
0.18649544344634 |
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 |
99600bw1 74700k1 24900h1 |
Quadratic twists by: -4 -3 5 |