Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376w |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
35538680016 = 24 · 39 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-3645] |
[a1,a2,a3,a4,a6] |
Generators |
[-1052:5005:64] |
Generators of the group modulo torsion |
j |
226492416/112847 |
j-invariant |
L |
5.8067746407673 |
L(r)(E,1)/r! |
Ω |
0.9271781301594 |
Real period |
R |
6.2628468595824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11844a1 47376v1 |
Quadratic twists by: -4 -3 |