Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560el |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
29130840000 = 26 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12063,-509888] |
[a1,a2,a3,a4,a6] |
Generators |
[533134:5808375:2744] |
Generators of the group modulo torsion |
j |
4160851280704/624375 |
j-invariant |
L |
7.399889855897 |
L(r)(E,1)/r! |
Ω |
0.45555375766286 |
Real period |
R |
8.1218623772475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560en1 53280cb4 35520cx1 |
Quadratic twists by: -4 8 -3 |