Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376d |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77915706624 = 28 · 39 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,-15930] |
[a1,a2,a3,a4,a6] |
j |
64314864/15463 |
j-invariant |
L |
1.5795793624141 |
L(r)(E,1)/r! |
Ω |
0.78978968131805 |
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 |
23688q2 47376a2 |
Quadratic twists by: -4 -3 |