Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792f |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
59496818347008 = 210 · 35 · 72 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254752,-49574428] |
[a1,a2,a3,a4,a6] |
j |
1785575700069130372/58102361667 |
j-invariant |
L |
2.1250583526715 |
L(r)(E,1)/r! |
Ω |
0.21250583526715 |
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 |
7896j3 63168bx4 47376n4 110544t4 |
Quadratic twists by: -4 8 -3 -7 |