Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944j |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
442767853617152 = 217 · 72 · 194 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355863264,2583764416372] |
[a1,a2,a3,a4,a6] |
Generators |
[-16998:1929184:1] [10799:16606:1] |
Generators of the group modulo torsion |
j |
1216783295219854805382860257/108097620512 |
j-invariant |
L |
5.7957249167364 |
L(r)(E,1)/r! |
Ω |
0.20446897722143 |
Real period |
R |
3.5431566413503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118m2 |
Quadratic twists by: -4 |