Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440w |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3153728634880 = -1 · 221 · 5 · 673 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,87519] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:268:1] |
Generators of the group modulo torsion |
j |
-1263214441/12030520 |
j-invariant |
L |
3.7847837921786 |
L(r)(E,1)/r! |
Ω |
0.6813490846555 |
Real period |
R |
0.92580633467112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440d2 5360o2 107200by2 |
Quadratic twists by: -4 8 5 |