Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cw |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1440329859072 = -1 · 215 · 34 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1217,-60417] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2760:1] |
Generators of the group modulo torsion |
j |
-6088387976/43955379 |
j-invariant |
L |
8.7071649286492 |
L(r)(E,1)/r! |
Ω |
0.35802903287969 |
Real period |
R |
3.039964684781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cg3 23712o2 |
Quadratic twists by: -4 8 |