Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792f |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
80175262116096 = 28 · 310 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16612,-708100] |
[a1,a2,a3,a4,a6] |
j |
1980503696308048/313184617641 |
j-invariant |
L |
2.1250583526715 |
L(r)(E,1)/r! |
Ω |
0.4250116705343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7896j2 63168bx2 47376n2 110544t2 |
Quadratic twists by: -4 8 -3 -7 |