Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792r |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26389114845069312 = 216 · 312 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456888,-118458000] |
[a1,a2,a3,a4,a6] |
Generators |
[356955522:594413478:456533] |
Generators of the group modulo torsion |
j |
2575099233338829625/6442654991472 |
j-invariant |
L |
4.3214107812182 |
L(r)(E,1)/r! |
Ω |
0.18365905056625 |
Real period |
R |
11.764764023049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974c2 63168dd2 47376be2 110544dk2 |
Quadratic twists by: -4 8 -3 -7 |