Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376p |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34629202944 = 210 · 37 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3891,-92990] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:18:1] |
Generators of the group modulo torsion |
j |
8727300292/46389 |
j-invariant |
L |
4.6981604609423 |
L(r)(E,1)/r! |
Ω |
0.60467668296947 |
Real period |
R |
0.97121333459637 |
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 |
23688r2 15792m2 |
Quadratic twists by: -4 -3 |