Atkin-Lehner |
3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44175l |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
274419931640625 = 34 · 510 · 192 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44501,3520523] |
[a1,a2,a3,a4,a6] |
Generators |
[1134:1481:8] |
Generators of the group modulo torsion |
j |
623733353421121/17562875625 |
j-invariant |
L |
7.8156423164747 |
L(r)(E,1)/r! |
Ω |
0.54796891392942 |
Real period |
R |
3.5657325250562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8835f2 |
Quadratic twists by: 5 |