Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544dg |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-51778519475945472 = -1 · 218 · 36 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394368,95818932] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:13056:1] [156:6174:1] |
Generators of the group modulo torsion |
j |
-14076076848625/107448768 |
j-invariant |
L |
13.983318911477 |
L(r)(E,1)/r! |
Ω |
0.35728054931728 |
Real period |
R |
1.6307584868523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818r1 15792n1 |
Quadratic twists by: -4 -7 |