Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109980b |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-992459520 = -1 · 28 · 33 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,1732] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] [-3:47:1] |
Generators of the group modulo torsion |
j |
-75866112/143585 |
j-invariant |
L |
8.8626859017377 |
L(r)(E,1)/r! |
Ω |
1.3938132626699 |
Real period |
R |
0.52988242994591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109980g1 |
Quadratic twists by: -3 |