Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376p |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3868155648 = -1 · 28 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-3026] |
[a1,a2,a3,a4,a6] |
Generators |
[26:108:1] |
Generators of the group modulo torsion |
j |
-810448/20727 |
j-invariant |
L |
4.6981604609423 |
L(r)(E,1)/r! |
Ω |
0.60467668296947 |
Real period |
R |
1.9424266691927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688r1 15792m1 |
Quadratic twists by: -4 -3 |