Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376r |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3710969275087872 = 210 · 314 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54435,-3912302] |
[a1,a2,a3,a4,a6] |
j |
23896313594500/4971184407 |
j-invariant |
L |
3.8056797545338 |
L(r)(E,1)/r! |
Ω |
0.31713997952045 |
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 |
23688c2 15792k2 |
Quadratic twists by: -4 -3 |