Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31584u |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3491421696 = 29 · 32 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32912,-2309160] |
[a1,a2,a3,a4,a6] |
Generators |
[662290:16334967:1000] |
Generators of the group modulo torsion |
j |
7700692288012424/6819183 |
j-invariant |
L |
7.5844840744216 |
L(r)(E,1)/r! |
Ω |
0.35445402270787 |
Real period |
R |
10.698826347744 |
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 |
31584g2 63168d2 94752h2 |
Quadratic twists by: -4 8 -3 |