Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376l |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5772618872358912 = 211 · 312 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273027,-54788830] |
[a1,a2,a3,a4,a6] |
j |
1507589218227458/3866476761 |
j-invariant |
L |
1.6711101636861 |
L(r)(E,1)/r! |
Ω |
0.2088887704667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688o2 15792c2 |
Quadratic twists by: -4 -3 |