Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21996f |
Isogeny class |
Conductor |
21996 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16929969967872 = 28 · 311 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9831,-318706] |
[a1,a2,a3,a4,a6] |
Generators |
[430:8658:1] |
Generators of the group modulo torsion |
j |
563053038928/90717003 |
j-invariant |
L |
3.6877488942129 |
L(r)(E,1)/r! |
Ω |
0.48468238309699 |
Real period |
R |
3.8042943408105 |
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 |
87984br2 7332b2 |
Quadratic twists by: -4 -3 |