Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bl |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
990247845888 = 216 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254693379,1564496501762] |
[a1,a2,a3,a4,a6] |
j |
611912326006384490336257/331632 |
j-invariant |
L |
2.0237887651521 |
L(r)(E,1)/r! |
Ω |
0.25297359567759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922g3 15792x3 |
Quadratic twists by: -4 -3 |