Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584g |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
12 |
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 |
[109:70:1] |
Generators of the group modulo torsion |
j |
7700692288012424/6819183 |
j-invariant |
L |
5.8919388880619 |
L(r)(E,1)/r! |
Ω |
1.1759220076583 |
Real period |
R |
1.6701614703725 |
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 |
31584u2 63168bp2 94752be2 |
Quadratic twists by: -4 8 -3 |