Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cw |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
24281088 = 215 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31617,-2174433] |
[a1,a2,a3,a4,a6] |
Generators |
[2516910:-66612347:3375] |
Generators of the group modulo torsion |
j |
106671767424776/741 |
j-invariant |
L |
8.7071649286492 |
L(r)(E,1)/r! |
Ω |
0.35802903287969 |
Real period |
R |
12.159858739124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cg4 23712o4 |
Quadratic twists by: -4 8 |