Atkin-Lehner |
2- 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24564b |
Isogeny class |
Conductor |
24564 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-23876208 = -1 · 24 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -2 -6 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,225] |
[a1,a2,a3,a4,a6] |
Generators |
[6:27:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
500000000/1492263 |
j-invariant |
L |
8.4116826689367 |
L(r)(E,1)/r! |
Ω |
1.501824448198 |
Real period |
R |
0.31116533253308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98256i1 73692a1 |
Quadratic twists by: -4 -3 |