Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47096a |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1065923391232 = -1 · 28 · 7 · 296 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,841,48778] |
[a1,a2,a3,a4,a6] |
Generators |
[11571:1244680:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
6.8829693917077 |
L(r)(E,1)/r! |
Ω |
0.64959817982149 |
Real period |
R |
5.2978669010374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94192i1 56a1 |
Quadratic twists by: -4 29 |