Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600dj |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2994750000 = -1 · 24 · 32 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183,-2862] |
[a1,a2,a3,a4,a6] |
Generators |
[23:75:1] |
Generators of the group modulo torsion |
j |
-2048/9 |
j-invariant |
L |
7.3524598519235 |
L(r)(E,1)/r! |
Ω |
0.58934464722482 |
Real period |
R |
1.5594567386817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904a1 72600bc1 |
Quadratic twists by: 5 -11 |