Atkin-Lehner |
2- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584j |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66202683244544 = 216 · 72 · 11 · 374 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11824,298836] |
[a1,a2,a3,a4,a6] |
Generators |
[20:266:1] |
Generators of the group modulo torsion |
j |
44636872368817/16162764464 |
j-invariant |
L |
3.3592795412866 |
L(r)(E,1)/r! |
Ω |
0.56705516265337 |
Real period |
R |
2.9620394650547 |
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 |
5698c2 |
Quadratic twists by: -4 |