Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bp |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-22016966400 = -1 · 28 · 37 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,8642] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-90:1] [-19:110:1] |
Generators of the group modulo torsion |
j |
-94875856/117975 |
j-invariant |
L |
9.0066682940303 |
L(r)(E,1)/r! |
Ω |
1.0911739751609 |
Real period |
R |
0.5158817761338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960w1 17160d1 |
Quadratic twists by: -4 -3 |